Chimera States in Two Coupled Ensembles of Henon and Lozi Maps. Controlling Chimera States

被引：3
|
作者：
Anishchenko, Vadim [1 ]
Rybalova, Elena [1 ]
Semenova, Nadezhda [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Dept Phys, Astrakhanskaya Str 83, Saratov 410012, Russia
来源：
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) | 2018年 / 1978卷
基金：
俄罗斯科学基金会;
关键词：
D O I：
10.1063/1.5044083
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we explore numerically the dynamics of two coupled one-dimensional ensembles: an ensemble of Henon maps and an ensemble of Lozi maps. Both networks are considered under conditions of nonlocal coupling. The ensemble of Lozi maps is characterized by a hyperbolic attractor of the individual elements, while the ensemble of Henon maps - by a nonhyperbolic attractor. We reveal the features of realizing chimera states in the coupled system, which are caused by mutual influence of two ensembles with fundamentally different dynamics without coupling.
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页数：4
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