Journal
CONTEMPORARY PHYSICS
Volume 61, Issue 3, Pages 169-192Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00107514.2020.1850003
Keywords
Nonlinearity; driving forces; ratchets; attractors; coupled oscillators; synchronisation
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Funding
- Alexander von Humboldt Foundation, Germany
- Royal Society of London, United Kingdom
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This article introduces the interdisciplinary research field of nonlinear systems dynamics, focusing on driven nonlinear systems and discussing advanced concepts and current research topics, such as multistability, chaos control, and synchronization.
The dynamics of nonlinear systems has emerged as an active interdisciplinary research field at the interface of biology, chemistry, mathematics, physics and engineering. This article introduces the discipline with emphasis on driven nonlinear systems. It examines the concepts from beginner's level while also highlighting some advanced topics and current research likely to lead to further advances in the field, such as the multistability and hidden attractors, basins of attractions, chaos control, synchronisation, nonlinear resonances, bursting oscillations and oscillation quenching. The concepts are illustrated by consideration of the dynamics of a driven particle in a ratchet potential as an archetypical-driven dynamical system whose behaviour captures the essential features of driven nonlinear systems more generally.
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