2026-04-14T08:21:23Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/218642025-12-05T09:57:47Zcom_2072_1057col_2072_478917col_2072_478920
RECERCAT
author
Haro, Àlex
author
Llave, Rafael de la
2012-02-10T08:23:14Z2012-02-10T08:23:14Z2006
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.
(c) American Institute of Physics, 2006 info:eu-repo/semantics/openAccess
Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Dinàmica de fluids
Statistical physics
Thermodynamics
Differentiable dynamical systems
Fluid dynamics
Manifolds on the verge of a hyperbolicity breakdown
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion