Shear-induced chaos

Kevin K. Lin, Lai Sang Young

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)899-922
Number of pages24
JournalNonlinearity
Volume21
Issue number5
DOIs
StatePublished - May 1 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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