Perturbation of the Lyapunov spectra of periodic orbits

Details Perturbation of the Lyapunov spectra of periodic orbits Perturbation of the Lyapunov spectra of periodic orbits

2010-04-28

arxiv.org/abs/1004.5029v3

Mathematics

Dynamical Systems

A few improvements were made, based on the referee's suggestions

Scientific paper

We describe all Lyapunov spectra that can be obtained by perturbing the derivatives along periodic orbits of a diffeomorphism. The description is expressed in terms of the finest dominated splitting and Lyapunov exponents that appear in the limit of a sequence of periodic orbits, and involves the majorization partial order. Among the applications, we give a simple criterion for the occurrence of universal dynamics.

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