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oai:recercat.cat:2445/218642025-12-05T09:57:47Zcom_2072_1057col_2072_478917col_2072_478920

Manifolds on the verge of a hyperbolicity breakdown Haro, Àlex Llave, Rafael de la Física estadística Termodinàmica Sistemes dinàmics diferenciables Dinàmica de fluids Statistical physics Thermodynamics Differentiable dynamical systems Fluid dynamics 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. 2012-02-10T08:23:14Z 2012-02-10T08:23:14Z 2006 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 1054-1500 https://hdl.handle.net/2445/21864 553064 eng Reproducció del document publicat a: http://dx.doi.org/10.1063/1.2150947 Chaos, 2006, vol. 16, núm. 1, p. 013120 http://dx.doi.org/10.1063/1.2150947 (c) American Institute of Physics, 2006 info:eu-repo/semantics/openAccess 1 p. application/pdf American Institute of Physics Articles publicats en revistes (Matemàtiques i Informàtica)