Spectral analysis of morse-smale flows ii: resonances and resonant states
Résumé
The goal of the present work is to compute explicitely the correlation spectrum of a Morse-Smale flow in terms of the Lyapunov exponents of the Morse–Smale flow, the topology of the flow around periodic orbits and the monodromy of some given flat connection. The corresponding eigenvalues exhibit vertical bands when the flow has periodic orbits. As a corollary, we obtain sharp Weyl asymptotics for the dynamical resonances.
Domaines
Physique mathématique [math-ph]
Origine : Fichiers produits par l'(les) auteur(s)
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