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RESEARCH PRODUCT
Perturbation of the Lyapunov spectra of periodic orbits
Jairo BochiChristian Bonattisubject
Lyapunov functionGeneral MathematicsMathematical analysisPerturbation (astronomy)Dynamical Systems (math.DS)Lyapunov exponentSpectral linesymbols.namesakeFOS: MathematicssymbolsLimit of a sequencePeriodic orbitsDiffeomorphismMathematics - Dynamical SystemsMajorizationMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-02-06 | Proceedings of the London Mathematical Society |