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arXiv · 0705.3294

Shear-Induced Chaos

Kevin K. Lin·Lai-Sang Young
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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.

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Kevin K. Lin, Lai-Sang Young. 2007-05-23. Shear-Induced Chaos. https://doi.org/10.1088/0951-7715%2F21%2F5%2F002

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