Shear-Induced Chaos
Dynamical Systems
2009-11-13 v1 Mathematical Physics
math.MP
Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.0705.3294,
title = {Shear-Induced Chaos},
author = {Kevin K. Lin and Lai-Sang Young},
journal= {arXiv preprint arXiv:0705.3294},
year = {2009}
}