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arXiv · 1909.08707

Hyers-Ulam stability for hyperbolic random dynamics

Lucas Backes·Davor Dragicevic
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Abstract

We prove that small nonlinear perturbations of random linear dynamics admitting a tempered exponential dichotomy have a random version of the shadowing property. As a consequence, if the exponential dichotomy is uniform, we get that the random linear dynamics is Hyers-Ulam stable. Moreover, we apply our results to study the conservation of Lyapunov exponents of the random linear dynamics subjected to nonlinear perturbations.

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Lucas Backes, Davor Dragicevic. 2019-09-18. Hyers-Ulam stability for hyperbolic random dynamics. https://doi.org/10.4064/fm971-10-2020

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