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arXiv · 2004.10626

Lyapunov exponents for random perturbations of coupled standard maps

Alex Blumenthal·Jinxin Xue·Yun Yang
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Abstract

In this paper, we give a quantitative estimate for the sum of the first $N$ Lyapunov exponents for random perturbations of a natural class $2N$-dimensional volume-preserving systems exhibiting strong hyperbolicity on a large but noninvariant subset of phase space. Concrete models covered by our setting include systems of coupled standard maps, in both `weak' and `strong' coupling regimes.

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Alex Blumenthal, Jinxin Xue, Yun Yang. 2020-04-22. Lyapunov exponents for random perturbations of coupled standard maps. https://doi.org/10.1007/s00220-021-04256-y

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