Strange Nonchaotic Attractors From a Family of Quasiperiodically Forced Piecewise Linear Maps

Denghui Li, Zhengbang Cao* (Corresponding Author), Xiaoming Zhang, Celso Grebogi, Jianhua Xie

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, a family of quasiperiodically forced piecewise linear maps is considered. It is proved that there exists a unique strange nonchaotic attractor for some set of parameter values. It is the graph of an upper semi-continuous function, which is invariant, discontinuous almost everywhere and attracts almost all orbits. Moreover, both Lyapunov exponents on the attractor is nonpositive. Finally, to demonstrate and validate our theoretical results, numerical simulations are presented to exhibit the corresponding phase portrait and Lyapunov exponents portrait.
Original languageEnglish
Article number2150111
Number of pages9
JournalInternational Journal of Bifurcation and Chaos
Volume31
Issue number7
Early online date15 Jun 2021
DOIs
Publication statusPublished - 15 Jun 2021

Keywords

  • strange nonchaotic attractors
  • skew product map
  • invariant graph

Fingerprint

Dive into the research topics of 'Strange Nonchaotic Attractors From a Family of Quasiperiodically Forced Piecewise Linear Maps'. Together they form a unique fingerprint.

Cite this