Quasiperiodicity and suppression of multistability in nonlinear dynamical systems

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.

20 pages, 5 figures

References in corpus (5)

• Terahertz Bloch oscillator with a modulated bias
• Bloch gain in dc-ac-driven semiconductor superlattices in the absence of electric domains
• Theory of parametric amplification in in superlattices
• Model of the Influence of an External Magnetic Field on the Gain of Terahertz Radiation from Semiconductor Superlattices
• Bifurcations and chaos in semiconductor superlattices with a tilted magnetic field

Cited by in corpus (5)

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• Transition to high-dimensional chaos in nonsmooth dynamical systems
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