Perturbation of the Lyapunov spectra of periodic orbits

作者:Bochi J*; Bonatti C
来源:Proceedings of the London Mathematical Society, 2012, 105: 1-48.
DOI:10.1112/plms/pdr048

摘要

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.

  • 出版日期2012-7