Multistability in a quasiperiodically forced piecewise smooth dynamical system

Gaolei Li, Yuan Yue*, Jianhua Xie, Celso Grebogi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)
3 Downloads (Pure)


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.

Original languageEnglish
Article number105165
Number of pages20
JournalCommunications in Nonlinear Science and Numerical Simulation
Early online date7 Jan 2020
Publication statusPublished - 1 May 2020

Bibliographical note

This work is supported by the National Natural Science Foundation of China (11672249, 11732014 and 11572263).


  • Coexisting attractors
  • Global dynamics
  • Phase sensitivity
  • Piecewise smooth system
  • Strange nonchaotic attractors


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