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The European Physical Journal Special Topics

, Volume 226, Issue 9, pp 1703–1719 | Cite as

Quasiperiodicity and suppression of multistability in nonlinear dynamical systems

  • Ying-Cheng Lai
  • Celso Grebogi
Review
Part of the following topical collections:
  1. Recent Advances in Nonlinear Dynamics and Complex Structures: Fundamentals and Applications

Abstract

It has been known that noise can suppress multistability by dynamically connecting coexisting attractors in the system which are otherwise in separate basins of attraction. The purpose of this mini-review is to argue that quasiperiodic driving can play a similar role in suppressing multistability. A concrete physical example is provided where quasiperiodic driving was demonstrated to eliminate multistability completely to generate robust chaos in a semiconductor superlattice system.

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Copyright information

© EDP Sciences and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.School of Electrical, Computer, and Energy Engineering, Arizona State UniversityTempe, ArizonaUSA
  2. 2.Institute for Complex Systems and Mathematical Biology, King’s College, University of AberdeenAberdeenUK

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