Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 389, Issue 1, Pages 121-151Publisher
SPRINGER
DOI: 10.1007/s00220-021-04256-y
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Funding
- National Science Foundation [DMS-1604805, DMS-2000167]
- NSFC (Significant Project) in China [11790273]
- Beijing Natural Science Foundation [Z180003]
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This paper provides a quantitative estimate for the first N Lyapunov exponents for random perturbations of a natural class of 2N-dimensional volume-preserving systems showing strong hyperbolicity in a large but noninvariant subset of the phase space. The setting includes systems of coupled standard maps, both in 'weak' and 'strong' coupling regimes.
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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