Lyapunov Exponents for Random Perturbations of Coupled Standard Maps

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.

Automated summary

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.