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arXiv · 1606.01137

Bifurcation Analysis of a Stochastically Driven Limit Cycle

Maximilian Engel·Jeroen S. W. Lamb·Martin Rasmussen
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Abstract

We establish the existence of a bifurcation from an attractive random equilibrium to shear-induced chaos for a stochastically driven limit cycle, indicated by a change of sign of the first Lyapunov exponent. This addresses an open problem posed by Kevin Lin and Lai-Sang Young, extending results by Qiudong Wang and Lai-Sang Young on periodically kicked limit cycles to the stochastic context.

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Maximilian Engel, Jeroen S. W. Lamb, Martin Rasmussen. 2018-02-14. Bifurcation Analysis of a Stochastically Driven Limit Cycle. https://doi.org/10.1007/s00220-019-03298-7

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