# Quasiperiodicity and suppression of multistability in nonlinear   dynamical systems

**Authors:** Ying-Cheng Lai, Celso Grebogi

arXiv: 1704.03938 · 2017-08-02

## TL;DR

This paper reviews how quasiperiodic driving, like noise, can suppress multistability in nonlinear systems, exemplified by generating robust chaos in a semiconductor superlattice.

## Contribution

It introduces quasiperiodic driving as a novel mechanism for multistability suppression, expanding understanding beyond noise effects.

## Key findings

- Quasiperiodic driving can eliminate multistability.
- Demonstrated robust chaos in a semiconductor superlattice.
- Quasiperiodic driving offers a new control method for nonlinear 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.

## Full text

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## Figures

7 figures with captions in the complete paper: https://tomesphere.com/paper/1704.03938/full.md

## References

150 references — full list in the complete paper: https://tomesphere.com/paper/1704.03938/full.md

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Source: https://tomesphere.com/paper/1704.03938