剪切诱导混沌
Shear-Induced Chaos
摘要：
由几何理解的指导下，在早期的作品王和年轻的，我们进行了一些数值研究的剪切诱导混沌。考虑的设置包括周期性踢的极限环，随机踢在泊松时间，和连续时间驱动的白噪声。强迫的准周期模型描述两个耦合振子也进行了研究。在所有情况下，积极的李雅普诺夫指数被发现在适当的参数范围内，当强迫是适当的方向。
英文摘要：
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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