Introduction to the Dynamics of Driven Nonlinear Systems

dc.contributor.authorVincent, Uchechukwu
dc.date.accessioned2022-05-09T08:08:50Z
dc.date.available2022-05-09T08:08:50Z
dc.date.issued2021-01-28
dc.description.abstractThe 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.en_US
dc.identifier.citationU. E. Vincent & O. Kolebaje (2020) Introduction to the dynamics of driven nonlinear systems, Contemporary Physics, 61:3, 169-192,en_US
dc.identifier.urihttps://doi.org/10.1080/00107514.2020.1850003
dc.identifier.urihttp://dspace.run.edu.ng:8080/jspui/handle/123456789/2816
dc.language.isoenen_US
dc.publisherTaylor & Francisen_US
dc.subjectNonlinearityen_US
dc.subjectDriving forcesen_US
dc.subjectRatchetsen_US
dc.subjectAttractorsen_US
dc.subjectCoupled oscillatorsen_US
dc.subjectSynchronizationen_US
dc.titleIntroduction to the Dynamics of Driven Nonlinear Systemsen_US
dc.typeArticleen_US
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