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

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

2001-07-11

arxiv.org/abs/nlin/0107022v2

Nonlinear Sciences

Chaotic Dynamics

15 pages, this new version has a few confusing misprints corrected

Scientific paper

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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