most citedInvariant foliations for stochastic dynamical systems with multiplicative stable Levy noise

2 citations · 3 across the 2 of their papers we have counts for

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2 papers

math.DS2019★ 1 cited

Large deviations for stochastic nonlinear systems of slow-fast diffusions with non-Gaussian Lévy noises

Shenglan Yuan, René Schilling, Jinqiao Duan

We establish the large deviation principle for the slow variables in slow-fast dynamical system driven by both Brownian noises and Lévy noises. The fast variables evolve at much fa…

math.DS2018★ 2 cited

Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise

Ying Chao, Pingyuan Wei, Shenglan Yuan

This work deals with the dynamics of a class of stochastic dynamical systems with a multiplicative non-Gaussian Levy noise. We first establish the existence of stable and unstable…