1.3k citations
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Showing 2006 · math.DSShow all
3 papers · 2 filters
math.DS2006★ 24 cited
Decay of correlations for slowly mixing flows
Ian Melbourne
We show that polynomial decay of correlations is prevalent for a class of nonuniformly hyperbolic flows. These flows are the continuous time analogue of a class of nonuniformly hyp…
math.DS2006★ 33 cited
Quasi-periodic attractors, Borel summability and the Bryuno condition for strongly dissipative systems
Guido Gentile, Michele V. Bartuccelli, Jonathan H. B. Deane
We consider a class of ordinary differential equations describing one-dimensional analytic systems with a quasi-periodic forcing term and in the presence of damping. In the limit o…
math.DS2006★ 16 cited
Bifurcation curves of subharmonic solutions
Guido Gentile, Michele V. Bartuccelli, Jonathan H. B. Deane
We revisit a problem considered by Chow and Hale on the existence of subharmonic solutions for perturbed systems. In the analytic setting, under more general (weaker) conditions, w…