Chaotic driven maps: Non-stationary hyperbolic attractor and hyperchaos

被引：5
|
作者：
Barabash, Nikita, V [1 ,2 ]
Belykh, Vladimir N. [1 ,2 ]
机构：
[1] Volga State Univ Water Transport, Dept Math, 5A Nesterov Str, Nizhnii Novgorod 603950, Russia
[2] Lobachevsky State Univ Nizhny Novgorod, Dept Control Theory, 23 Gagarin Ave, Nizhnii Novgorod 603950, Russia
来源：
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2020年 / 229卷 / 6-7期
基金：
俄罗斯科学基金会; 俄罗斯基础研究基金会;
关键词：
DYNAMICS; OSCILLATORS;
D O I：
10.1140/epjst/e2020-900252-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we study simple examples of non-autonomous maps having different changing in time chaotic attractors. We present the definition of non-stationary hyperbolic attractor of the driven maps. We rigorously prove the existence of non-stationary hyperbolic attractor in 2D driven map and introduce a hyperchaotic attractor for autonomous 3D map of master-slave structure. Our analysis is based on the auxiliary systems approach and the construction of invariant cones.
引用
收藏
页码：1071 / 1081
页数：11
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