Shear-Induced Chaos

Abstract

Guided by a geometric understanding developed in earlier works of Wang and Young, we carry out some numerical studies of shear-induced chaos. 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.

References in corpus (2)

• Reliability of Coupled Oscillators I: Two-Oscillator Systems
• Reliable and unreliable dynamics in driven coupled oscillators

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