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Perturbation theory for Lyapunov exponents of a toral map: extension of a result of Shub and Wilkinson

David Ruelle
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Abstract

Starting from a hyperbolic toral automorphism, we obtain, for a small volume preserving perturbation, an exact and rigorous second order perturbation expansion of the Lyapunov exponents.

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David Ruelle. 2001-07-15. Perturbation theory for Lyapunov exponents of a toral map: extension of a result of Shub and Wilkinson. https://arxiv.org/abs/nlin/0107022

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