Lyapunov Exponents for Random Perturbations of Coupled Standard Maps

被引：0
|
作者：
Alex Blumenthal
Jinxin Xue
Yun Yang
机构：
[1] Georgia Institute of Technology,School of Mathematics
[2] Tsinghua University,Department of Mathematics, Yau Mathematical Sciences Center
[3] Virginia Polytechnic Institute and State University,Department of Mathematics
来源：
Communications in Mathematical Physics | 2022年 / 389卷
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摘要：
In this paper, we give a quantitative estimate for the first N Lyapunov exponents for random perturbations of a natural class of 2N-dimensional volume-preserving systems exhibiting strong hyperbolicity on a large but noninvariant subset of the 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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页码：121 / 151
页数：30
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