Multistability in a quasiperiodically forced piecewise smooth dynamical system

被引：17
|
作者：
Li, Gaolei [1 ,2 ]
Yue, Yuan [1 ,2 ]
Xie, Jianhua [1 ]
Grebogi, Celso [3 ]
机构：
[1] Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Peoples R China
[2] Southwest Jiaotong Univ, Appl Mech & Struct Safety Key Lab Sichuan Prov, Chengdu 610031, Sichuan, Peoples R China
[3] Univ Aberdeen, Inst Complex Syst & Math Biol, Kings Coll, Aberdeen AB24 3UE, Scotland
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2020年 / 84卷
基金：
中国国家自然科学基金;
关键词：
Piecewise smooth system; Strange nonchaotic attractors; Coexisting attractors; Global dynamics; Phase sensitivity; STRANGE NONCHAOTIC ATTRACTORS; BIRTH; BIFURCATIONS; SPECTRA;
D O I：
10.1016/j.cnsns.2019.105165
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Considering a class of quasiperiodically forced piecewise smooth systems, we uncover a dynamic phenomenon in which strange nonchaotic attractors (SNAs) and quasiperiodic attractors coexist in nonsmooth dynamical system, obtaining the domains of attraction of these coexisting attractors in parameter space in order to analyze the global dynamics. The global dynamics analysis demonstrates that SNAs are the transition from quasiperiodic attractors to chaotic attractors. The routes to SNAs, including torus-doubling route, torus fractalization route or, simply, fractal route, and intermittency route, are also investigated. The characteristics of SNAs are described by dynamical invariants such as the Lyapunov exponent, power spectrum, phase sensitivity and rational approximations. (C) 2020 Elsevier B.V. All rights reserved.
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页数：20
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