Co-existing hidden attractors in a radio-physical oscillator system

被引：96

作者：

Kuznetsov, A. P. ^{[1
]}

Kuznetsov, S. P. ^{[1
]}

Mosekilde, E. ^{[2
]}

Stankevich, N. V. ^{[3
]}

机构：

[1] RAS, Kotelnikovs Inst Radio Engn & Elect, Saratov Branch, Saratov 410019, Russia

[2] Tech Univ Denmark, Dept Phys, DK-2800 Lyngby, Denmark

[3] Yuri Gagarin State Tech Univ Saratov, Saratov 410054, Russia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2015年 / 48卷 / 12期

关键词：

hidden attractors; radio-physical oscillator; coexisting chaotic states; absence of an equilibrium state; CHAOTIC SYSTEM;

D O I：

10.1088/1751-8113/48/12/125101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The term 'hidden attractor' relates to a stable periodic, quasiperiodic or chaotic state whose basin of attraction does not overlap with the neighborhood of an unstable equilibrium point. Considering a three-dimensional oscillator system that does not allow for the existence of an equilibrium point, this paper describes the formation of several different coexisting sets of hidden attractors, including the simultaneous presence of a pair of coinciding quasiperiodic attractors and of two mutually symmetric chaotic attractors. We follow the dynamics of the system as a function of the basic oscillator frequency, describe the bifurcations through which hidden attractors of different type arise and disappear, and illustrate the form of the basins of attraction.

引用

页数：12

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