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

Gaolei Li (), Yuan Yue, Celso Grebogi (), Denghui Li () and Jianhua Xie ()
Additional contact information
Gaolei Li: Applied Mechanics and Structure, Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China
Yuan Yue: ��Institute for Complex Systems and Mathematical Biology King’s College, University of Aberdeen, Aberdeen AB24 3UE, UK
Celso Grebogi: ��Institute for Complex Systems and Mathematical Biology King’s College, University of Aberdeen, Aberdeen AB24 3UE, UK
Denghui Li: ��School of Mathematics and Statistics, Hexi University, Zhangye 734000, P. R. China
Jianhua Xie: �School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-11

Abstract: 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.

Keywords: Piecewise Linear System; Strange Nonchaotic Attractor; Noise; Crisis; Intermittency (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22500037
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22500037

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22500037

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().