What is the simplest dissipative chaotic jerk equation which is parity invariant?

被引：59

作者：

Malasoma, JM ^{[1
]}

机构：

[1] CNRS, ENTPE, DGCB, URA 1652, F-69518 Vaulx En Velin, France

来源：

PHYSICS LETTERS A | 2000年 / 264卷 / 05期

关键词：

jerk; chaos; attractor; differential equation; parity;

D O I：

10.1016/S0375-9601(99)00819-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the chaotic dynamics of an autonomous scalar third-order differential equation. This system seems to be the algebraically simplest and previously unknown example of a dissipative chaotic jerky flow which is parity invariant. It displays chaotic behaviours in two distinct ranges of its control parameter. Deterministic chaos is principally observed from a symmetric Limit cycle which after a symmetry-breaking bifurcation gives rise to two cascades of flip bifurcation. Then two coexisting asymmetric chaotic attractors are observed, and after a symmetry-restoring crisis a symmetric chaotic attractor is created. Chaotic attractors also coexist in another very narrow range of control parameter as results of two period doubling cascades of bifurcation from a pair of mutually symmetric coexisting limit cycles. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：383 / 389

页数：7

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