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

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外文标题：Strange Nonchaotic Attractors in a Quasiperiodically Excited Slender Rigid Rocking Block with Two Frequencies

外文摘要：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.

外文关键词：

Strange nonchaotic attractorSlender rigid rocking blockQuasi-periodic excitationChaosLyapunov exponent

作者：

Jinkai Jiang、Zhengdong Du

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作者单位：

Department of Mathematics,Sichuan University,Chengdu 610064,China

关键词：

Strange nonchaotic attractor Slender rigid rocking block Quasi-periodic excitation Chaos Lyapunov exponent

出版年：

2024

DOI：