STRANGE NONCHAOTIC ATTRACTORS IN A PERIODICALLY FORCED PIECEWISE LINEAR SYSTEM WITH NOISE

被引：11

作者：

Li, Gaolei ^{[1
]}

Yue, Yuan ^{[2
]}

Grebogi, Celso ^{[2
]}

Li, Denghui ^{[3
]}

Xie, Jianhua ^{[4
]}

机构：

[1] Southwest Jiaotong Univ, Sch Mech & Engn, Appl Mech & Struct Safety Key Lab Sichuan Prov, Chengdu 610031, Peoples R China

[2] Univ Aberdeen, Inst Complex Syst & Math Biol Kings Coll, Aberdeen AB24 3UE, Scotland

[3] Hexi Univ, Sch Math & Stat, Zhangye 734000, Peoples R China

[4] Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Piecewise Linear System; Strange Nonchaotic Attractor; Noise; Crisis; Intermittency; INTERMITTENCY; BIFURCATION; BIRTH;

D O I：

10.1142/S0218348X22500037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The study of strange nonchaotic attractors (SNAs) has been mainly restricted to quasiperiodically forced systems. At present, SNAs have also been uncovered in several periodically forced smooth systems with noise. In this work, we consider a periodically forced nonsmooth system and find that SNAs are created by a small amount of noise. SNAs can be generated in different periodic windows with weak noise perturbation. If the parameter is varied further from the chaotic range, a larger noise intensity is required to induce SNAs. Besides, noise-induced SNAs can be generated by the periodic attractors near the boundary crisis. In addition, with the increasing noise intensity, the intermittency between SNAs and periodic attractors can be induced by transient chaos. The characteristics of SNAs are analyzed by the Lyapunov exponent, power spectrum, singular continuous spectrum, spectral distribution functions, and finite time Lyapunov exponent.

引用

页数：11

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[40] Renormalization group approach to the effect of noise at the birth of a strange nonchaotic attractor [J].

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