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

Fingerprint

White noise
Chaos theory
Forcing
chaos
Chaos
shear
Coupled Oscillators
white noise
Limit Cycle
Lyapunov Exponent
Continuous Time
Numerical Study
Siméon Denis Poisson
oscillators
exponents
cycles
Range of data
Model

ASJC Scopus subject areas

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

Cite this

Shear-induced chaos. / Lin, Kevin K.; Young, Lai-Sang.

In: Nonlinearity, Vol. 21, No. 5, 01.05.2008, p. 899-922.

Research output: Contribution to journalArticle

Lin, Kevin K. ; Young, Lai-Sang. / Shear-induced chaos. In: Nonlinearity. 2008 ; Vol. 21, No. 5. pp. 899-922.
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