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Spatio-temporal structures in ensembles of coupled chaotic systems
Physics-Uspekhi ( IF 2.7 ) Pub Date : 2020-04-26 , DOI: 10.3367/ufne.2019.01.038518
G I Strelkova , V S Anishchenko

We review numerical results of studies of the complex dynamics of one- and double-dimensional networks (ensembles) of nonlocally coupled identical chaotic oscillators in the form of discrete- and continuous-time systems, as well as lattices of coupled ensembles. We show that these complex networks can demonstrate specific types of spatio-temporal patterns in the form of chimera states, known as the coexistence of spatially localized domains of coherent (synchronized) and incoherent (asynchronous) dynamics in a network of nonlocally coupled identical oscillators. We describe phase, amplitude, and double-well chimeras and solitary states; their basic characteristics are analyzed and compared. We focus on two basic discrete-time models, H ##IMG## [http://ej.iop.org/images/1063-7869/63/2/145/tex_pu_8774_img1.gif] {$ \acute {e}$} non and Lozi maps, which can be used to describe typical chimera structures and solitary states in networks of a wide range of chaotic o...

中文翻译:

耦合混沌系统集合中的时空结构

我们回顾了离散和连续时间系统形式的非局部耦合相同混沌振荡器的一维和二维网络(集合)的复杂动力学研究的数值结果,以及耦合集合的晶格。我们表明,这些复杂的网络可以以嵌合体状态的形式展示特定类型的时空模式,即在非本地耦合的相同振荡器网络中相干(同步)和不相干(异步)动力学的空间局部域的共存。我们描述相位,幅度和双阱嵌合体和孤立状态;分析和比较了它们的基本特征。我们关注两个基本的离散时间模型H ## IMG ## [http://ej.iop.org/images/1063-7869/63/2/145/tex_pu_8774_img1.gif] {$ \ acute {e} $}非地图和Lozi地图,
更新日期:2020-04-26
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