Shear-induced chaos

Kevin K. Lin; Lai Sang Young

doi:10.1088/0951-7715/21/5/002

Shear-induced chaos

Kevin K. Lin
, Lai Sang Young

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

Abstract

Guided by a geometric understanding developed in earlier works of Wang and Young, we carry out numerical studies of shear-induced chaos in several parallel but different situations. The settings considered include periodic kicking of limit cycles, random kicks at Poisson times and continuous-time driving by white noise. The forcing of a quasi-periodic model describing two coupled oscillators is also investigated. In all cases, positive Lyapunov exponents are found in suitable parameter ranges when the forcing is suitably directed.

Original language	English (US)
Pages (from-to)	899-922
Number of pages	24
Journal	Nonlinearity
Volume	21
Issue number	5
DOIs	https://doi.org/10.1088/0951-7715/21/5/002
State	Published - May 1 2008

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/0951-7715/21/5/002

Cite this

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title = "Shear-induced chaos",

abstract = "Guided by a geometric understanding developed in earlier works of Wang and Young, we carry out numerical studies of shear-induced chaos in several parallel but different situations. The settings considered include periodic kicking of limit cycles, random kicks at Poisson times and continuous-time driving by white noise. The forcing of a quasi-periodic model describing two coupled oscillators is also investigated. In all cases, positive Lyapunov exponents are found in suitable parameter ranges when the forcing is suitably directed.",

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AB - Guided by a geometric understanding developed in earlier works of Wang and Young, we carry out numerical studies of shear-induced chaos in several parallel but different situations. The settings considered include periodic kicking of limit cycles, random kicks at Poisson times and continuous-time driving by white noise. The forcing of a quasi-periodic model describing two coupled oscillators is also investigated. In all cases, positive Lyapunov exponents are found in suitable parameter ranges when the forcing is suitably directed.

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JO - Nonlinearity

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Shear-induced chaos

Abstract

ASJC Scopus subject areas

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