Chaos in the Periodically Parametrically Excited Lorenz System

被引：0

作者：

Huang, Weisheng ^{[1
]}

Yang, Xiao-Song ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2021年 / 31卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Chaos; Lorenz system; parametrically excited system; pseudo-stable manifold; COMPUTER-ASSISTED PROOF; EQUATIONS; PRETURBULENCE; TRANSITION;

D O I：

10.1142/S021812742130024X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We demonstrate in this paper a new chaotic behavior in the Lorenz system with periodically excited parameters. We focus on the parameters with which the Lorenz system has only two asymptotically stable equilibrium points, a saddle and no chaotic dynamics. A new mechanism of generating chaos in the periodically excited Lorenz system is demonstrated by showing that some trajectories can visit different attractor basins due to the periodic variations of the attractor basins of the time-varying stable equilibrium points when a parameter of the Lorenz system is varying periodically.

引用

页数：15

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