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arXiv · 1504.08159

Existence of random invariant periodic curves via random semiuniform ergodic theorem

Kenneth Uda
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Abstract

We employ an extension of ergodic theory to the random setting to investigate the existence of random periodic solutions of random dynamical systems. Given that a random dynamical system has a dissipative structure, we proved that a random invariant compact set can be expressed as a union of finite of number of random periodic curves. The idea in this paper is closely related to the work recently considered by Zhao and Zheng [46].

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Kenneth Uda. 2015-04-30. Existence of random invariant periodic curves via random semiuniform ergodic theorem. https://doi.org/10.1142/s0219493717500071

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