Strange Nonchaotic Attractors in a Quasiperiodically Excited Slender Rigid Rocking Block with Two Frequencies

被引：2

作者：

Jiang, Jinkai ^{[1
]}

Du, Zhengdong ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

ACTA MECHANICA SOLIDA SINICA | 2024年 / 37卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Strange nonchaotic attractor; Slender rigid rocking block; Quasi-periodic excitation; Chaos; Lyapunov exponent; ROUTE; BIFURCATION; COLLISION; MOTION;

D O I：

10.1007/s10338-024-00464-w

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we investigate the existence of strange nonchaotic attractors (SNAs) in a slender rigid rocking block under quasi-periodic forcing with two frequencies. We find that an SNA can exist between a quasi-periodic attractor and a chaotic attractor, or between two chaotic attractors. In particular, we demonstrate that a torus doubling bifurcation of a quasi-periodic attractor can result in SNAs via the fractal route before transforming into chaotic attractors. This phenomenon is rarely reported in quasiperiodically forced discontinuous differential equations and vibro-impact systems. The properties of SNAs are verified by the Lyapunov exponent, rational approximation, phase sensitivity, power spectrum, and separation of nearby trajectories.

引用

页码：750 / 761

页数：12

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