transactions  0.  ref_block_num  34,759 

ref_block_prefix  958,489,679 

expiration  20190112 16:02:06 

operations  0.  0.  transfer 

1.  from  ankarlie 

to  magicdice 

amount  2.500 STEEM 

memo  "over 6 nju8w3qh6l" 







extensions  [] 

signatures  0.  2057582c53219020208914748ee3431d5b08249f207b85993e7ebcbb5ff047f0fa4c478e44aa4b7df2ffa6e556149f1a78d9975185d8f83c97fd986b9214c15e85 



transaction_id  dbf089d1e1e098c5ad087a93af06769429f3233b 

block_num  29,394,892 

transaction_num  0 



1.  ref_block_num  34,745 

ref_block_prefix  3,266,876,754 

expiration  20190112 16:11:06 

operations  0.  0.  vote 

1.  voter  yellowboy1010 

author  yellowboy1010 

permlink  201970 

weight  10,000 







extensions  [] 

signatures  0.  1f7c39e1c7b7c09800e082a2c75a0fe967aadda29e014632624acb23d0205ba4f349d3f82b8449785a37833e90a50368ad882e0997ec0ce72ddae2abb118075f22 



transaction_id  3a094c2832b6e7a5ed317eb0f9d7cae5f494aa36 

block_num  29,394,892 

transaction_num  1 



2.  ref_block_num  34,757 

ref_block_prefix  3,767,530,124 

expiration  20190112 16:02:07 

operations  0.  0.  vote 

1.  voter  steemservices 

author  lordbutterfly 

permlink  wasthenamesteemitamistake 

weight  10,000 







extensions  [] 

signatures  0.  2040aaf19bddc66bcfaafcbb588e87d243b9ca71899b6d0601c034c248a425d3c841305aebf538a38a96b226478d932bf7af2b7ac530119121fd1db07e61bef114 



transaction_id  53207086f0152c561a8292ce28f5ed54b3889ae6 

block_num  29,394,892 

transaction_num  2 



3.  ref_block_num  34,762 

ref_block_prefix  4,234,800,380 

expiration  20190112 16:02:09 

operations  0.  0.  transfer 

1.  from  peakmonsters 

to  stever82 

amount  3.872 SBD 

memo  sm_market_sale:41529018c38008c8a1318bbdc009965d92251ffe0,731af8ac9c84c85a9d7b9baa424bec49a4c174440:fw206 







extensions  [] 

signatures  0.  205c1fbaaa7f6391f0c12dec568d7a8589fae0cb725bf42b026e43af25c85a64c13de9efb163542be99d338f4233aa1d5bf06e27c85df0d9e7aa3628560da54207 



transaction_id  74bb480067da75d79f528dcb4208ca45874c4c33 

block_num  29,394,892 

transaction_num  3 



4.  ref_block_num  34,759 

ref_block_prefix  958,489,679 

expiration  20190112 16:02:06 

operations  0.  0.  comment 

1.  parent_author  "" 

parent_permlink  complexsytems 

author  complexcity 

permlink  mostrecentarxivpapersinnonlinearsciences20190113 

title  "Most Recent Arxiv Papers In Nonlinear Sciences  20190113" 

body  "<center><b> Welcome To Nonlinear Sciences</b></center>
# <center>Adaptation And SelfOrganizing Systems</center>
<hr>
### [Exact universal excitation waveform for optimal enhancement of directed ratchet transport](http://arxiv.org/abs/1901.03119v1) (1901.03119v1)
<i>Ricardo Chacón, Pedro J. Martínez</b>
<h10>20190110</h10>
> The existence and properties of an exact universal excitation waveform for optimal enhancement of directed ratchet transport are deduced from the criticality scenario giving rise to ratchet universality, and confirmed by numerical experiments in the context of a driven overdamped Brownian particle subjected to a vibrating periodic potential. While the universality scenario holds regardless of the waveform of the periodic vibratory excitations involved, it is shown that the enhancement of directed ratchet transport is optimal when the impulse transmitted by those excitations (time integral over a halfperiod) is maximum. Additionally, the existence of a frequencydependent optimal value of the relative amplitude of the two excitations involved is illustrated in the simple case of harmonic excitations.
### [Buckling sheets open a door to understanding selforganization in soft matter](http://arxiv.org/abs/1901.03032v1) (1901.03032v1)
<i>Shankar C. Venkataramani</b>
<h10>20190110</h10>
> This is an invited commentary on "Geometrically incompatible confinement of solids", B. Davidovitch, Y. Sun and G. M. Grason (PNAS, doi:10.1073/pnas.1815507116 , arxiv:1809.06919).
### [Synchronization of Oscillators via Active Media](http://arxiv.org/abs/1901.02854v1) (1901.02854v1)
<i>Derek Orr, Bard Ermentrout</b>
<h10>20190109</h10>
> In this paper, we study pairs of oscillators that are indirectly coupled via active (excitable) cells. We introduce a scalar phase model for coupled oscillators and excitable cells. We first show that one excitable and one oscillatory cell will exhibit phase locking at a variety of ![](http://latex2png.com/output//latex_e1d39021a63d3c98bf07acb3017a9681.png) patterns. We next introduce a second oscillatory cell and show that the only attractor is synchrony between the oscillators. We will also study the robustness to heterogeneity when excitable cell fires or is quiescent. We next examine the dynamics when the oscillators are coupled via two excitable cells. In this case, the dynamics are very complicated with many forms of bistability and, in some cases, chaotic behavior. We also apply weak coupling analysis to this case and explain some of the degeneracies observed in the bifurcation diagram. We also look at pairs of oscillators coupled via long chains of excitable cells and show that small differences in the frequency of the oscillators makes their locking more robust. Finally, we demonstrate many of the same phenomena seen in the phase model for a gapjunction coupled system of MorrisLecar neurons.
### [Microscopic correlations in the Kuramoto model of coupled oscillators](http://arxiv.org/abs/1901.02779v1) (1901.02779v1)
<i>F. Peter, C. Gong, A. Pikovsky</b>
<h10>20190109</h10>
> In the Kuramoto model of globally coupled phase oscillators with different frequencies, the oscillators separate into two groups: an ordered one locked to the mean field and a disordered one. We show that this picture, derived in the thermodynamic limit of large populations, is not exact for finite ensembles, where the mean field fluctuates. We demonstrate that these fluctuations lead to crosscorrelations in the disordered group. The theory, based on the approximation of the mean field fluctuations by white noise, agrees well with our observations for finite ensembles.
### [Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limitcycle oscillators](http://arxiv.org/abs/1901.02721v1) (1901.02721v1)
<i>Nobuhiro Watanabe, Yuzuru Kato, Sho Shirasaka, Hiroya Nakao</b>
<h10>20190109</h10>
> Optimization of mutual synchronization between a pair of limitcycle oscillators with weak symmetric coupling is considered in the framework of the phase reduction theory. By generalizing a previous study on the optimization of crossdiffusion coupling matrices between the oscillators, we consider optimization of mutual coupling signals to maximize the linear stability of the synchronized state, which are functionals of the past time sequences of the oscillator states. For the case of linear coupling, optimization of the delay time and linear filitering of coupling signals are considered. For the case of nonlinear coupling, general driveresponse coupling is considered, and the optimal response and driving functions are derived. The theoretical results are exemplified by numerical simulations.
# <center>Chaotic Dynamics</center>
<hr>
### [Exact Spectral Form Factor in a Minimal Model of ManyBody Quantum Chaos](http://arxiv.org/abs/1805.00931v3) (1805.00931v3)
<i>Bruno Bertini, Pavel Kos, Tomaz Prosen</b>
<h10>20180502</h10>
> The most general and versatile defining feature of quantum chaotic systems is that they possess an energy spectrum with correlations universally described by random matrix theory (RMT). This feature can be exhibited by systems with a well defined classical limit as well as by systems with no classical correspondence, such as locally interacting spins or fermions. Despite great phenomenological success, a general mechanism explaining the emergence of RMT without reference to semiclassical concepts is still missing. Here we provide the example of a quantum manybody system with no semiclassical limit (no large parameter) where the emergence of RMT spectral correlations is proven exactly. Specifically, we consider a periodically driven Ising model and write the Fourier transform of spectral density's twopoint function, the spectral form factor, in terms of a partition function of a twodimensional classical Ising model featuring a spacetime duality. We show that the selfdual cases provide a minimal model of manybody quantum chaos, where the spectral form factor is demonstrated to match RMT for all values of the integer time variable ![](http://latex2png.com/output//latex_8d4bc8f5b83573d4ec808ec91e4cdcbb.png) in the thermodynamic limit. In particular, we rigorously prove RMT form factor for odd ![](http://latex2png.com/output//latex_8d4bc8f5b83573d4ec808ec91e4cdcbb.png), while we formulate a precise conjecture for even ![](http://latex2png.com/output//latex_8d4bc8f5b83573d4ec808ec91e4cdcbb.png). The results imply ergodicity for any finite amount of disorder in the longitudinal field, rigorously excluding the possibility of manybody localization. Our method provides a novel route for obtaining exact nonperturbative results in nonintegrable systems.
### [Resonanceassisted tunneling in 4D normalform Hamiltonians](http://arxiv.org/abs/1901.02692v1) (1901.02692v1)
<i>Markus Firmbach, Felix Fritzsch, Roland Ketzmerick, Arnd Bäcker</b>
<h10>20190109</h10>
> A significant enhancement of tunneling may be caused by the presence of nonlinear resonances in the corresponding classical phase space. We describe this resonanceassisted tunneling using a 4D normalform Hamiltonian as it captures all fundamental features. We consider single as well as double resonances and study the morphology of quantum states. Quantitatively we describe tunneling in terms of the weight of these states in classically disconnected regions. By applying perturbative methods we reveal the underlying mechanism and obtain excellent qualitative and quantitative agreement with numerical data. Using a minimal ![](http://latex2png.com/output//latex_a3f10a56511d9c724c0a49eb38ff6d03.png) matrix model, an intuitive understanding of the basic features of resonanceassisted tunneling in the normalform Hamiltonians is obtained.
### [Dynamical systems in wireless communications: The road less traveled by](http://arxiv.org/abs/1901.02661v1) (1901.02661v1)
<i>Harun Siljak, Irene Macaluso, Nicola Marchetti</b>
<h10>20190109</h10>
> Dynamical systems are by no means strangers in wireless communications, but we sometimes tend to forget how rich their behavior can be and how useful general methods for dynamical systems can be. Our story will necessarily involve chaos, but not in the terms secure chaotic communications have introduced it: we will look for the chaos, complexity and dynamics that already exist in everyday wireless communications. We present a short overview of dynamical systems and chaos before focusing on the applications of dynamical systems theory to wireless communications in the past 30 years, ranging from the modeling on the physical layer to different kinds of selfsimilar traffic encountered all the way up to the network layer. The examples of past research and its implications are grouped and mapped onto the media layers of ISO OSI model to show just how ubiquitous dynamical systems theory can be and to trace the paths that may be taken now. When considering the future paths, we argue that the time has come for us to revive the interest of the research community to dynamical systems in wireless communications. We might have avoided those paths earlier because of the big question: can we afford observing systems of our interest as dynamical systems and what are the tradeoffs? The answers to these questions are dynamical systems of its own: they change not only with the modeling context, but also with time. In the current moment, we argue, the available resources allow such approach and the current demands ask for it. The results we obtained standing on the shoulders of dynamical systems theory suggest the necessity for its inclusion in the wireless toolbox for the highly dynamical world of 5G and beyond.
### [Kinetic theory for classical and quantum manybody chaos](http://arxiv.org/abs/1804.09182v2) (1804.09182v2)
<i>Sašo Grozdanov, Koenraad Schalm, Vincenzo Scopelliti</b>
<h10>20180424</h10>
> For perturbative scalar field theories, the latetimelimit of the outoftimeordered correlation function that measures (quantum) chaos is shown to be equal to a Boltzmanntype kinetic equation that measures the total gross (instead of net) particle exchange between phase space cells, weighted by a function of energy. This derivation gives a concrete form to numerous attempts to derive chaotic manybody dynamics from ad hoc kinetic equations. A period of exponential growth in the total gross exchange determines the Lyapunov exponent of the chaotic system. Physically, the exponential growth is a front propagating into an unstable state in phase space. As in conventional Boltzmann transport, which follows from the dynamics of the net particle number density exchange, the kernel of this kinetic integral equation is also set by the 2to2 scattering rate. This provides a mathematically precise statement of the known fact that in dilute weakly coupled gases transport and scrambling (or ergodicity) are controlled by the same physics.
### [Classification of bifurcation diagrams in coupled phaseoscillator models with asymmetric natural frequency distributions](http://arxiv.org/abs/1901.02175v1) (1901.02175v1)
<i>Ryosuke Yoneda, Yoshiyuki Y. Yamaguchi</b>
<h10>20190108</h10>
> Synchronization among rhythmic elements is modeled by coupled phaseoscillators each of which has the socalled natural frequency. The natural frequency distribution determines types of bifurcation diagrams, which contain continuous or discontinuous synchronization transitions from the nonsynchronized state for instance. It has been numerically reported that asymmetry in the natural frequency distributions brings new types of bifurcation diagrams having oscillation or a discontinuous jump of the order parameter which emerge from partially synchronized states. We propose a theoretical classification method of five types of bifurcation diagrams including the new ones paying attention to generality of the theory. The oscillation and the jump from partially synchronized states are discussed respectively by the linear analysis around the nonsynchronized state and by extending the amplitude equation up to the third leading term. The theoretical classification is examined by comparing with numerical results.
# <center>Cellular Automata And Lattice Gases</center>
<hr>
### [Search Space Reduction of Asynchrony Immune Cellular Automata by Center Permutivity](http://arxiv.org/abs/1901.01534v1) (1901.01534v1)
<i>Luca Mariot, Luca Manzoni, Alberto Dennunzio</b>
<h10>20190106</h10>
> We continue the study of asynchrony immunity in cellular automata (CA), which can be considered as a weaker version of correlation immunity in the context of vectorial Boolean functions. The property could have applications as a countermeasure for sidechannel attacks in CAbased cryptographic primitives, such as Sboxes and pseudorandom number generators. We first give some theoretical results on the necessary conditions that a CA rule must satisfy in order to meet asynchrony immunity, the most important one being center permutivity. Next, we perform an exhaustive search of all asynchrony immune CA rules of neighborhood size up to ![](http://latex2png.com/output//latex_5df815b358c39b9cc793e04b1fbc33c8.png), leveraging on the discovered theoretical properties to greatly reduce the size of the search space.
### [Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton](http://arxiv.org/abs/1901.00845v1) (1901.00845v1)
<i>Berislav Buča, Juan P. Garrahan, Tomaž Prosen, Matthieu Vanicat</b>
<h10>20190103</h10>
> We study the statistical properties of the longtime dynamics of the rule 54 reversible cellular automaton (CA), driven stochastically at its boundaries. This CA can be considered as a discretetime and deterministic version of the FredricksonAndersen kinetically constrained model (KCM). By means of a matrix product ansatz, we compute the exact large deviation cumulant generating functions for a wide range of timeextensive observables of the dynamics, together with their associated rate functions and conditioned longtime distributions over configurations. We show that for all instances of boundary driving the CA dynamics occurs at the point of phase coexistence between competing active and inactive dynamical phases, similar to what happens in more standard KCMs. We also find the exact finite size scaling behaviour of these trajectory transitions, and provide the explicit "Doobtransformed" dynamics that optimally realises rare dynamical events.
### [Spacetime Symmetries, Invariant Sets, and Additive Subdynamics of Cellular Automata](http://arxiv.org/abs/1812.11597v1) (1812.11597v1)
<i>Adam Rupe, James P. Crutchfield</b>
<h10>20181230</h10>
> Cellular automata are fullydiscrete, spatiallyextended dynamical systems that evolve by simultaneously applying a local update function. Despite their simplicity, the induced global dynamic produces a stunning array of richlystructured, complex behaviors. These behaviors present a challenge to traditional closedform analytic methods. In certain cases, specifically when the local update is additive, powerful techniques may be brought to bear, including characteristic polynomials, the ergodic theorem with Fourier analysis, and endomorphisms of compact Abelian groups. For general dynamics, though, where such analytics generically do not apply, behaviordriven analysis shows great promise in directly monitoring the emergence of structure and complexity in cellular automata. Here we detail a surprising connection between generalized symmetries in the spacetime fields of configuration orbits as revealed by the behaviordriven local causal states, invariant sets of spatial configurations, and additive subdynamics which allow for closedform analytic methods.
### [Lenia  Biology of Artificial Life](http://arxiv.org/abs/1812.05433v2) (1812.05433v2)
<i>Bert WangChak Chan</b>
<h10>20181213</h10>
> We report a new model of artificial life called Lenia (from Latin lenis "smooth"), a twodimensional cellular automaton with continuous spacetimestate and generalized local rule. Computer simulations show that Lenia supports a great diversity of complex autonomous patterns or "lifeforms" bearing resemblance to realworld microscopic organisms. More than 400 species in 18 families have been identified, many discovered via interactive evolutionary computation. They differ from other cellular automata patterns in being geometric, metameric, fuzzy, resilient, adaptive, and rulegeneric. We present basic observations of the model regarding the properties of spacetime and basic settings. We provide a board survey of the lifeforms, categorize them into a hierarchical taxonomy, and map their distribution in the parameter hyperspace. We describe their morphological structures and behavioral dynamics, propose possible mechanisms of their selfpropulsion, selforganization and plasticity. Finally, we discuss how the study of Lenia would be related to biology, artificial life, and artificial intelligence.
### [Antifragility of Random Boolean Networks](http://arxiv.org/abs/1812.06760v1) (1812.06760v1)
<i>Omar K. Pineda, Hyobin Kim, Carlos Gershenson</b>
<h10>20181217</h10>
> Antifragility is a property that enhances the capability of a system in response to external perturbations. Although the concept has been applied in many areas, a practical measure of antifragility has not been developed yet. Here we propose a simply calculable measure of antifragility, based on the change of "satisfaction" before and after adding perturbations, and apply it to random Boolean networks (RBNs). Using the measure, we found that ordered RBNs are the most antifragile. Also, we demonstrate that seven biological systems are antifragile. Our measure and results can be used in various applications of Boolean networks (BNs) including creating antifragile engineering systems, identifying the genetic mechanism of antifragile biological systems, and developing new treatment strategies for various diseases.
# <center>Pattern Formation And Solitons</center>
<hr>
### [Asymmetric kink scattering in a twocomponent scalar field theory model](http://arxiv.org/abs/1901.03089v1) (1901.03089v1)
<i>A. AlonsoIzquierdo</b>
<h10>20190110</h10>
> In this paper the kink scattering in a twocomponent scalar field theory model in (1+1)Minkowskian spacetime is addressed. The potential term ![](http://latex2png.com/output//latex_83b524d6653eca6ae2f6fcbe1ec655ef.png) is given by a polynomial of fourth degree in the first field component and of sixth degree in the second one. The novel characteristic of this model is that the kink variety describes two different types of extended particles. These particles are characterized by its topological charge but also by a new feature determined by a discrete charge ![](http://latex2png.com/output//latex_54eb7caf901697f6075e2d17da34cb4b.png). For this reason, the kink scattering involves a very rich variety of processes, which comprises kink annihilation, reflection, charge exchange, transmutation, etc. It has been found that not only the final velocity of the scattered kinks, but also the final nature of the emerging lumps after the collision are very sensitive on the initial velocities. Asymmetric scattering processes arise when Type I and Type II particles are obliged to collide. In this case, ten different final scenarios are possible. Symmetric scattering events are also discussed.
### [Multiplace nonlocal systems](http://arxiv.org/abs/1901.02828v1) (1901.02828v1)
<i>S. Y. Lou</b>
<h10>20190109</h10>
> Twoplace nonlocal systems have attracted many scientists' attentions. In this paper, twoplace nonlocalities are extended to multiplace nonlocalities. Especially, various twoplace and fourplace nonlocal nonlinear Schrodinger (NLS) systems and KadomtsevPetviashvili (KP) equations are systematically obtained from the discrete symmetry reductions of the coupled local systems. The Lax pairs for the twoplace and fourplace nonlocal NLS and KP equations are explicitly given. Some types of exact solutions especially the multiple soliton solutions for twoplace and fourplace KP equations are investigated by means of the group symmetricantisymmetric separation approach.
### [Early stage of integrable turbulence in 1D NLS equation: the semiclassical approach to statistics](http://arxiv.org/abs/1901.02501v1) (1901.02501v1)
<i>Giacomo Roberti, Gennady El, Stephane Randoux, Pierre Suret</b>
<h10>20190108</h10>
> We examine statistical properties of integrable turbulence in the defocusing and focusing regimes of onedimensional smalldispersion nonlinear Schrodinger equation (1DNLSE). Specifically, we study the 1DNLSE evolution of partially coherent waves having Gaussian statistics at time t=0. Using short time asymptotic expansions and taking advantage of the scale separation in the semiclassical regime we obtain a simple explicit formula describing an early stage of the evolution of the fourth moment of the random wave field amplitude, a quantitative measure of the "tailedness" of the probability density function. Our results show excellent agreement with numerical simulations of the full 1DNLSE random field dynamics and provide insight into the emergence of the wellknown phenomenon of heavy (resp. low) tails of the statistical distribution emerging in the focusing (resp. defocusing) regime of 1DNLSE.
### [Edge and bulk dissipative solitons in modulated PTsymmetric waveguide arrays](http://arxiv.org/abs/1901.02430v1) (1901.02430v1)
<i>Yaroslav V. Kartashov, Victor A. Vysloukh</b>
<h10>20190108</h10>
> We address dissipative soliton formation in modulated PTsymmetric continuous waveguide arrays composed from waveguides with amplifying and absorbing sections, whose density gradually increases (due to decreasing waveguide separation) either towards the center of the array or towards its edges. In such a structure the level of gain/loss at which PTsymmetry gets broken depends on the direction of increase of the waveguide density. Breakup of the PTsymmetry occurs when eigenvalues of modes localized in the region, where waveguide density is largest, collide and move into complex plane. In this regime of broken symmetry the inclusion of focusing Kerrtype nonlinearity of the material and weak twophoton absorption allows to arrest the growth of amplitude of amplified modes and may lead to the appearance of stable attractors either in the center or at the edge of the waveguide array, depending on the type of array modulation. Such solitons can be stable, they acquire specific triangular shapes and notably broaden with increase of gainloss level. Our results illustrate how spatial array modulation that breaks PTsymmetry locally can be used to control specific location of dissipative solitons forming in the array.
### [Tailfree selfaccelerating solitons and vortices](http://arxiv.org/abs/1901.02325v1) (1901.02325v1)
<i>Jieli Qin, Zhaoxin Liang, Boris A. Malomed, Guangjiong Dong</b>
<h10>20190108</h10>
> Selfaccelerating waves in conservative systems, which usually feature slowly decaying tails, such as Airy waves, have drawn great interest in studies of quantum and classical wave dynamics. They typically appear in linear media, while nonlinearities tend to deform and eventually destroy them. We demonstrate, by means of analytical and numerical methods, the existence of robust one and twodimensional (1D and 2D) selfaccelerating tailless solitons and solitary vortices in a model of twocomponent BoseEinstein condensates, dressed by a microwave (MW) field, whose magnetic component mediates longrange interaction between the matterwave constituents, with the feedback of the matter waves on the MW field taken into account. In particular, selfaccelerating 2D solitons may move along a curved trajectory in the coordinate plane. The system may also include the spinorbit coupling between the components, leading to similar results for the selfacceleration. The effect persists if the contact cubic nonlinearity is included. A similar mechanism may generate 1D and 2D selfaccelerating solitons in optical media with thermal nonlinearity.
# <center>Exactly Solvable And Integrable Systems</center>
<hr>
### [NonHolonomic and QuasiIntegrable Deformations of Nonlinear Schrödinger Equation and their comparison](http://arxiv.org/abs/1611.00961v3) (1611.00961v3)
<i>Kumar Abhinav, Partha Guha, Indranil Mukherjee</b>
<h10>20161103</h10>
> The quasiintegrable deformation of the Nonlinear Schr\"odinger equation, obtained through deformation of the corresponding potential by Ferreira et. al. [JHEP 2012, 103 (2012)], is shown to be identifiable with nonholonomic deformation of the same system, both locally and asymptotically, under specific conditions. The latter deformation is obtained explicitly for the generalized coupled Nonlinear Schr\"odinger system, using the Lax pair approach as well as the Kupershmidt ansatz [Phys. Lett. A 372, 2634 (2008)] and the two approaches are found to converge. The expected incompatibility of the quasiintegrable and nonholonomic deformations, by respective definitions, is explicitly obtained further. These aspects emerge from a phasemodulus coupling condition, obtained for the nonholonomic Nonlinear Schr\"odinger equation. Similar conditional correspondence of nonholonomic deformation with nonintegrable deformation of the same system is found to extend beyond quasiintegrable one, namely, that achieved with local scaling of the amplitude.
### [On Grassmannian Heterotic Sigma Model](http://arxiv.org/abs/1901.03010v1) (1901.03010v1)
<i>Michael Kreshchuk, Evgeniy Kurianovych, Mikhail Shifman</b>
<h10>20190110</h10>
> We study the nonminimal supersymmetric heterotically deformed ![](http://latex2png.com/output//latex_4f00282d47a7267b0c7a398224ab3d7d.png) sigma model with the Grassmannian target space ![](http://latex2png.com/output//latex_3f1884bcedf2a633d0a15c99f3b71657.png). To develop the appropriate superfield formalism, we begin with a simplified model with flat target space, find its beta function up to two loops, and prove a nonrenormalization theorem. Then we generalize the results to the full model with the Grassmannian target space. Using the geometric formulation, we calculate the beta functions and discuss the 't Hooft and Veneziano limits.
### [Coupled Dispersionless and Generalized Heisenberg Ferromagnet Equations with SelfConsistent Sources: Geometry and Equivalence](http://arxiv.org/abs/1901.01470v2) (1901.01470v2)
<i>Guldana Bekova, Gulgassyl Nugmanova, Gaukhar Shaikhova, Kuralay Yesmakhanova, Ratbay Myrzakulov</b>
<h10>20190105</h10>
> We propose a new integrable coupled dispersionless equation with selfconsistent sources (CDESCS). We obtain the Lax pair and the equivalent generalized Heisenberg ferromagnet equation (GHFE), demonstrating its integrability. Specifically, we explore the geometry of these equations. Last, we consider the relation between the motion of curves/surfaces and the CDESCS and the GHFE.
### [Multiplace nonlocal systems](http://arxiv.org/abs/1901.02828v1) (1901.02828v1)
<i>S. Y. Lou</b>
<h10>20190109</h10>
> Twoplace nonlocal systems have attracted many scientists' attentions. In this paper, twoplace nonlocalities are extended to multiplace nonlocalities. Especially, various twoplace and fourplace nonlocal nonlinear Schrodinger (NLS) systems and KadomtsevPetviashvili (KP) equations are systematically obtained from the discrete symmetry reductions of the coupled local systems. The Lax pairs for the twoplace and fourplace nonlocal NLS and KP equations are explicitly given. Some types of exact solutions especially the multiple soliton solutions for twoplace and fourplace KP equations are investigated by means of the group symmetricantisymmetric separation approach.
### [Early stage of integrable turbulence in 1D NLS equation: the semiclassical approach to statistics](http://arxiv.org/abs/1901.02501v1) (1901.02501v1)
<i>Giacomo Roberti, Gennady El, Stephane Randoux, Pierre Suret</b>
<h10>20190108</h10>
> We examine statistical properties of integrable turbulence in the defocusing and focusing regimes of onedimensional smalldispersion nonlinear Schrodinger equation (1DNLSE). Specifically, we study the 1DNLSE evolution of partially coherent waves having Gaussian statistics at time t=0. Using short time asymptotic expansions and taking advantage of the scale separation in the semiclassical regime we obtain a simple explicit formula describing an early stage of the evolution of the fourth moment of the random wave field amplitude, a quantitative measure of the "tailedness" of the probability density function. Our results show excellent agreement with numerical simulations of the full 1DNLSE random field dynamics and provide insight into the emergence of the wellknown phenomenon of heavy (resp. low) tails of the statistical distribution emerging in the focusing (resp. defocusing) regime of 1DNLSE.
<br><hr> <center>Thank you for reading!<br> https://cdn.steemitimages.com/DQmbn3ovuKLM17k6aemZMrJj6iqKkYzXCYz5Qh1Fg7vPmRx/image.png <br> Don't forget to Follow and Resteem. @complexcity <br>Keeping everyone inform.</center>" 

json_metadata  "{"tags": ["complexsytems"]}" 







extensions  [] 

signatures  0.  1f7ad3c3a9ee43d40449944de07a2806c739e6e3e90ef7d87a073d876373bdd70078db3b6489df7247ceb6c056c9c45b14c9d98068265383282fd753680ccd2668 



transaction_id  ba3476b3c77af69b34b6e9bae6fee3f4e89427e4 

block_num  29,394,892 

transaction_num  4 



5.  ref_block_num  34,762 

ref_block_prefix  4,234,800,380 

expiration  20190112 16:02:23 

operations  0.  0.  custom_json 

1.  required_auths  [] 

required_posting_auths  

id  sm_find_match 

json  {"match_type":"Ranked","app":"steemmonsters/0.4.4.2"} 







extensions  [] 

signatures  0.  1f28b68b84601e72177d45c40943d60becd7acd8faeeb3d1c19672465303103bbe267443da741594b870126754ed22b64323bc8815380486bda3e359a6c6ece021 



transaction_id  b676b1af8569c7b4405f711b9078cbf19b47f80c 

block_num  29,394,892 

transaction_num  5 



6.  ref_block_num  34,745 

ref_block_prefix  3,266,876,754 

expiration  20190112 16:11:06 

operations  0.  0.  vote 

1.  voter  longboard 

author  sydkas 

permlink  1lox58pz 

weight  10,000 







extensions  [] 

signatures  0.  20604e8585502bfcba41144b5a7378236093c5e5111a47f69256fedd51293757fd1b9108ca99081e0f23cc4ea5b4c380895e62847e3b0bebb5a7772281eb54bbf8 



transaction_id  ad32718407cf8c9d867272bc261e126e9de5b6c6 

block_num  29,394,892 

transaction_num  6 



7.  ref_block_num  34,745 

ref_block_prefix  3,266,876,754 

expiration  20190112 16:11:06 

operations  0.  0.  vote 

1.  voter  iamevilradio 

author  sadheaven 

permlink  acidweekend 

weight  10,000 







extensions  [] 

signatures  0.  1f3e10d86cbb6ece3ded240f2dbbf9d61ac900daa16d792af1fe1508d628247b4a1fe955a2231866df63e6cadc856c143d1435c37c37ea6ac3dbfe909927e492af 



transaction_id  26021374beb9d3bd0124ab9bc56ad41882d3ff3c 

block_num  29,394,892 

transaction_num  7 



8.  ref_block_num  34,762 

ref_block_prefix  4,234,800,380 

expiration  20190112 16:02:06 

operations  0.  0.  vote 

1.  voter  masterminds 

author  mbcmeps 

permlink  beepboopmbcupdates 

weight  10,000 







extensions  [] 

signatures  0.  1f0c3f27cb34d62a7a4d559df649e59cfba13b452969ab82b1211662878b3a3d0c3e4de099e72ae20153f94cdb43a30069766b5e1571e6d9ecee20c833fe4fa164 



transaction_id  39da7f3bcae150398c7620bd9276e06a5dad4c6b 

block_num  29,394,892 

transaction_num  8 



9.  ref_block_num  34,762 

ref_block_prefix  4,234,800,380 

expiration  20190112 16:02:09 

operations  0.  0.  vote 

1.  voter  kabolo 

author  lordbutterfly 

permlink  wasthenamesteemitamistake 

weight  10,000 







extensions  [] 

signatures  0.  1f0956f725c5efcf5ef293844d4094c373d561482aa0b17e8c2f14ec4effb2a3327d2837f4bc26e5069da4e40980eea93daf10eb46b664193bac0881206e033fc3 



transaction_id  e6aab9a398cb9ea23003e435f9ba16f061154d3b 

block_num  29,394,892 

transaction_num  9 



10.  ref_block_num  34,762 

ref_block_prefix  4,234,800,380 

expiration  20190112 16:02:09 

operations  0.  0.  vote 

1.  voter  memo01 

author  alpayasteem 

permlink  viewoftheriverinbukitlawangtouristattractions5066d59fa574e 

weight  10,000 







extensions  [] 

signatures  0.  1f05a4951067fe09e37940afb30ccdd5f24a79578f49252e106ab6cd4e1a6e1fb06f8e912624519396666d8eb10c5e91447f77928437f2c03c770c955e51e1e6dc 



transaction_id  004d1f83c9d8804f2f237285660b61e29b4c848f 

block_num  29,394,892 

transaction_num  10 



11.  ref_block_num  34,745 

ref_block_prefix  3,266,876,754 

expiration  20190112 16:11:06 

operations  0.  0.  custom_json 

1.  required_auths  [] 

required_posting_auths  

id  follow 

json  ["follow",{"follower":"xedon","following":"wackou","what":["blog"]}] 







extensions  [] 

signatures  0.  1f09dc186bafc91d31a232f9850abca14815f5aed22c560eff19abf42979da8b6c3d10fa3236d357cb0686e2fd572930488368064fc48ca6daa1eb680f5d70c6f3 



transaction_id  08b919fe7a707fbf6c23cdc2e38e70e87a6ff4f7 

block_num  29,394,892 

transaction_num  11 



12.  ref_block_num  34,745 

ref_block_prefix  3,266,876,754 

expiration  20190112 16:11:06 

operations  0.  0.  vote 

1.  voter  lawyerup 

author  c0ff33a 

permlink  coffeeoftheworldpapuanewguineafreshlyroastedbyc0ff33a 

weight  2,000 







extensions  [] 

signatures  0.  1b3c88ce10b7570a9334bd82463042b01f48e8bcfa3165d6dce394e39a86f9b34f1cff92ba5768f5e1b93a0dc31014e1c52b4fb0b5e3b720944ef1a7bf8461738d 



transaction_id  2aa02a703457caca9ce8aa89be67512c85e9eb9d 

block_num  29,394,892 

transaction_num  12 



13.  ref_block_num  34,762 

ref_block_prefix  4,234,800,380 

expiration  20190112 16:02:09 

operations  0.  0.  vote 

1.  voter  oredebby 

author  sebescen81 

permlink  aktuellefahndungendesbka5identifizierungeinerleiche 

weight  10,000 







extensions  [] 

signatures  0.  2065cd832c7b289b58025431c863155f0583fceee7c161b6fec6586dbef43c7da97922713c8e5ebf800b66812ddbf6d1eef02cff903ec1240eb2012d7d1d7e36e6 



transaction_id  0edae85e13b0889363e128d7789001f1605972f3 

block_num  29,394,892 

transaction_num  13 



14.  ref_block_num  34,745 

ref_block_prefix  3,266,876,754 

expiration  20190112 16:11:06 

operations  0.  0.  vote 

1.  voter  steemhunt 

author  pialejoana 

permlink  resabari18glyphrstudiofreewebbasedfontdesigner20190112t134207462z 

weight  62 







extensions  [] 

signatures  0.  1c131905f1354fc25b5aa1243e398d46c43c22ad222035361f2949fb25df97662923f68de570c3b9af21a7cdb2602fcf341bedab2ead796221c7b3b90514f7e8b6 



transaction_id  06efa30731073c358d7193f9aed3750856bb8cce 

block_num  29,394,892 

transaction_num  14 



15.  ref_block_num  34,745 

ref_block_prefix  3,266,876,754 

expiration  20190112 16:11:06 

operations  0.  0.  vote 

1.  voter  sleepagent 

author  bonp 

permlink  naturalcolorflowersoflivingnaturemyentry68 

weight  2,000 







extensions  [] 

signatures  0.  20388db718acfa78bfb3e98684e9cb237551d75191b6bacc5c4ddf280bc886484017d4e72b16480cec021ab90f1f5d222ca6ca7642fb854fd71a3ec44dbd094d1a 



transaction_id  b33324e3625e2ebda5af91a9b630086ee3ce15ce 

block_num  29,394,892 

transaction_num  15 



16.  ref_block_num  34,745 

ref_block_prefix  3,266,876,754 

expiration  20190112 16:11:06 

operations  0.  0.  vote 

1.  voter  eforucom 

author  bitland 

permlink  hiigaoneweightfreeworkoutsystem 

weight  100 







extensions  [] 

signatures  0.  20272cfe0b6b35879e2f6de3d107dd2e8a2777b61713f0bcafec6cb46ec4cdf6eb195b21a36bdeccbc396008267484e7e36e403e17579dc0bba84eb566f9a9cdaa 



transaction_id  cb096116e4c8bcbe906584a12932b9eefad44fd1 

block_num  29,394,892 

transaction_num  16 



17.  ref_block_num  34,745 

ref_block_prefix  3,266,876,754 

expiration  20190112 16:11:06 

operations  0.  0.  comment 

1.  parent_author  kirato 

parent_permlink  steemmonster91191547126164633 

author  sleepagent 

permlink  rekirato1547308869063 

title  "" 

body  "Thank you for using @sleepagent bid bot serves.
This post has received a 40 % upvote from @sleepagent." 

json_metadata  {} 







extensions  [] 

signatures  0.  2038331f9be0a2321702b0953b2ee0ff65157cacbef84426551a6c68634e1adebb2f105a3497c045f5b399b2bd6a5a3dbd4c7e9aa36f6deed9ea198c63393352ae 



transaction_id  ed2c70014dc8c090830c11f4315deb6adcf0173b 

block_num  29,394,892 

transaction_num  17 



18.  ref_block_num  34,741 

ref_block_prefix  3,871,608,474 

expiration  20190112 16:11:00 

operations  0.  0.  transfer 

1.  from  alpayasteem 

to  isotonic 

amount  0.050 STEEM 

memo  https://steemit.com/travelfeed/@alpayasteem/bamboorestaurantinbukitlawangtouristspotf866f44cbc88b 







extensions  [] 

signatures  0.  203cb3e154ce75b949f71f02e6a2f9f52f3bbd7f2958f57c3b4189db557ca7a18527521356ab498d940e9c6717629f8bc164be0df6b1dae58df599cd7b8ce6bcae 



transaction_id  031cd46db4d8efc98d678e1c92392e406aaeaac6 

block_num  29,394,892 

transaction_num  18 



19.  ref_block_num  34,745 

ref_block_prefix  3,266,876,754 

expiration  20190112 16:11:06 

operations  0.  0.  vote 

1.  voter  statgen 

author  bitland 

permlink  hiigaoneweightfreeworkoutsystem 

weight  760 







extensions  [] 

signatures  0.  1f2ddb258217a8215b5be9456650f89431a224638df673170602fbf443122f411a14cb36374e3bcf09105474a1e27c2086220eab56291b19d294497cb994bf1f29 



transaction_id  5b93053d10d79856ee49d70686b0cc3d01918465 

block_num  29,394,892 

transaction_num  19 



20.  ref_block_num  34,747 

ref_block_prefix  2,847,290,754 

expiration  20190112 16:11:09 

operations  0.  0.  vote 

1.  voter  najar10791 

author  upvotebank 

permlink  dailyupvotebankreport31420190112t160002456zpost 

weight  10,000 







extensions  [] 

signatures  0.  207d05ea809e82a915881a669f45da0a736b4b86502d187f4fa5df343069219f686bb31b2e45fd79bb1d3f0f255f16c9d45452e044c8bdf00dbc5e2be9e91700ba 



transaction_id  502361ef113c1f2628cc1a9b1db5f6f974dc0cd9 

block_num  29,394,892 

transaction_num  20 



21.  ref_block_num  34,763 

ref_block_prefix  641,483,771 

expiration  20190112 16:01:39 

operations  0.  0.  transfer 

1.  from  blocktrades 

to  funtraveller 

amount  0.001 SBD 

memo  #Gkpn7etKiXEcyd19EESwSACZe8VtGqoLWkB65HHd7j79qMRp3KVchg15EVQdyxKzBb3sZEVJtPt8ubgT6hb3UP7CurNdx5a6RnPUXus57rPLxEzAw3gf6AisZ5VcL5aHnpLKXkHNCB99PUgY2vUyVgi5Qx61bDNgctGLiMKLwj7ZyuQL2skoy9UQF6NBCrXsRHstr1yAAxn4aKiPaAPGk3naGDqJRvPEHGJsirH8h3sBmUpDnhn3oUfKmYhQg876e9hz5V65YJSaNdtqirLBNr6kBxbMc6KD2RV6hmw2Rm6AFPoEPgqhAR6iUEgT12vkJCK8jtJ 







extensions  [] 

signatures  0.  206433f70c55968216400cbb37d0d3265783a692f1bd7d44e4726bb2d7689c53e60b5b334a1a09366ae19c2def9c54938f7737fcc4da9364d360379b31e1d126f4 



transaction_id  0a6b792718209c89768338cc11b315bd787e088f 

block_num  29,394,892 

transaction_num  21 



22.  ref_block_num  34,757 

ref_block_prefix  3,767,530,124 

expiration  20190112 16:02:08 

operations  0.  0.  vote 

1.  voter  berniesanders 

author  mitrado 

permlink  actifitmitrado20190111t233422233z 

weight  500 







extensions  [] 

signatures  0.  2022f4070ec5fb5e675676200c493a12900c09999e77edefe299c8147bd5fc4ae826e37b1a9276b633ef5a0af8e313bce44f5b368446e1076c9a994baa6c07e13c 



transaction_id  f79fdadce05c40182bee0eba97bd5053321ca354 

block_num  29,394,892 

transaction_num  22 



23.  ref_block_num  34,747 

ref_block_prefix  2,847,290,754 

expiration  20190112 16:11:09 

operations  0.  0.  transfer 

1.  from  magicdice 

to  navyactifit 

amount  7.840 STEEM 

memo  "You have won 7.840 STEEM. Dice Roll: 65. Your prediction: over 50. MAGIC token reward: 800.0. Multiplier: 1.96. WinChance: 50%. {"betId":"5c3a0f46fa4a4d600a73d31b","diceRoll":65,"refTransactionId":"99cf1562e2e5fa386a7d6c426c74f530aecdbc1a","refBlockNumber":29394890,"serverSeedHash":"66b18ca901931a95b67e8c91d945a833ec8e0588a799c2fd4a32068c5b4773fd","isValid":true}" 







extensions  [] 

signatures  0.  1f6f00859c8c71100ef5fe0170481930c7d1da397ecba9fa466948cce3c97353b8416f30048818b9686f4a6c9bff3f7c8eb5762f9b3787965581282fb337fb8537 



transaction_id  89df3a58a1761f2fe4a99ce4aa1d4f1227f13fe1 

block_num  29,394,892 

transaction_num  23 



24.  ref_block_num  34,747 

ref_block_prefix  2,847,290,754 

expiration  20190112 16:11:09 

operations  0.  0.  vote 

1.  voter  demo 

author  abialfatih 

permlink  pilihsaksiyangadildalamakadnikah65f1dc6371d6 

weight  570 







extensions  [] 

signatures  0.  1f35e1dbcc3a060686f1f190501976bd01ef9b93daa7906b3fb6becd055c07a3675365df445080a6d9ee522f9017fb955619e03e1d3fd04fb1e99c804d0910bc8e 



transaction_id  d2f2e0ba63745f60f26af1c8f671ca345008b9a6 

block_num  29,394,892 

transaction_num  24 



25.  ref_block_num  34,741 

ref_block_prefix  3,871,608,474 

expiration  20190112 16:11:03 

operations  0.  0.  custom_json 

1.  required_auths  [] 

required_posting_auths  

id  sm_submit_team 

json  {"trx_id":"c5e5d7f8f8645cb6939428cf0ac6b8d970dc9941","team_hash":"bd72bd9c155194667b9674772504c23f","summoner":"C138V1X68G9QWG","monsters":["C1401KLY962JMO","C1340N8I2XD5HC","C139DQU41P4D8W"],"secret":"mUaVwaJLZg","app":"steemmonsters/0.4.4.2"} 







extensions  [] 

signatures  0.  20783781a75c0657cb8802f44bf97758b96163ec3e6adb2a5f416cdaaaa7f7248b69398f0bc23b55df66a78c6ab9a0e4112397ea1c8eea705055f98e05ecc8a97d 



transaction_id  f0412ac5d81931c2be6ff68cde89faed981b39fc 

block_num  29,394,892 

transaction_num  25 




