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.
|Original language||English (US)|
|Number of pages||48|
|Journal||Proceedings of the London Mathematical Society|
|State||Published - Jul 2012|
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