Manifolds on the verge of a hyperbolicity breakdown


Autoria(s): Haro, Àlex; Llave, Rafael de la
Contribuinte(s)

Universitat de Barcelona

Data(s)

02/03/2012

Resumo

We study numerically the disappearance of normally hyperbolic invariant tori in quasiperiodic systems and identify a scenario for their breakdown. In this scenario, the breakdown happens because two invariant directions of the transversal dynamics come close to each other, losing their regularity. On the other hand, the Lyapunov multipliers associated with the invariant directions remain more or less constant. We identify notable quantitative regularities in this scenario, namely that the minimum angle between the two invariant directions and the Lyapunov multipliers have power law dependence with the parameters. The exponents of the power laws seem to be universal.

Identificador

http://hdl.handle.net/2445/21864

Idioma(s)

eng

Publicador

American Institute of Physics

Direitos

(c) American Institute of Physics, 2006

Palavras-Chave #Física estadística #Termodinàmica #Sistemes dinàmics diferenciables #Dinàmica de fluids #Statistical physics #Thermodynamics #Differentiable dynamical systems #Fluid dynamics
Tipo

info:eu-repo/semantics/article