TL;DR
This paper explores shear-induced chaos through numerical studies of various forcing methods on oscillatory systems, demonstrating positive Lyapunov exponents indicating chaos under certain conditions.
Contribution
It provides a comprehensive numerical analysis of shear-induced chaos across different forcing scenarios, extending previous geometric understanding.
Findings
Positive Lyapunov exponents observed in multiple forcing regimes
Chaos occurs when forcing is suitably directed
Numerical evidence supports shear-induced chaos in oscillatory systems
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.