An infinite 2-D lattice of strange attractors

被引：99

作者：

Li, Chunbiao ^{[1
,2
]}

Sprott, Julien Clinton ^{[3
]}

Mei, Yong ^{[1
,2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Collaborat Innovat Ctr Forecast & Evaluat Meteoro, Nanjing 210044, Jiangsu, Peoples R China

[2] Nanjing Univ Informat Sci & Technol, Jiangsu Key Lab Meteorol Observat & Informat Proc, Nanjing 210044, Jiangsu, Peoples R China

[3] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA

来源：

NONLINEAR DYNAMICS | 2017年 / 89卷 / 04期

关键词：

Offset boosting; Multistability; Infinitely many attractors; SECURE COMMUNICATION; MULTIPLE ATTRACTORS; CHAOTIC ATTRACTORS; HIDDEN ATTRACTORS; LABYRINTH CHAOS; MULTISTABILITY; SYSTEMS; SYNCHRONIZATION; BIFURCATIONS; OSCILLATORS;

D O I：

10.1007/s11071-017-3612-0

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Periodic trigonometric functions are introduced in 2-D offset-boostable chaotic flows to generate an infinite 2-D lattice of strange attractors. These 2-D offset-boostable chaotic systems are constructed based on standard jerk flows and extended to more general systems by exhaustive computer searching. Two regimes of multistability with a lattice of strange attractors are explored where the infinitely many attractors come from a 2-D offset-boostable chaotic system in cascade or in an interactive mode.

引用

页码：2629 / 2639

页数：11

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