We implement different methods for the computation of the breakdown threshold of invariant attractors in the dissipative standard mapping. A first approach is based on the computation of the Sobolev norms of the function parametrizing the solution. Then we look for the approximating periodic orbits and we analyze their stability in order to compute the critical threshold at which an invariant attractor breaks down. We also determine the domain of convergence of the dissipative standard mapping by extending the computations to the complex parameter space as well as by investigating a two-frequency model.

Calleja, R., Celletti, A. (2010). Breakdown of invariant attractors for the dissipative standard map. CHAOS, 20(1) [10.1063/1.3335408].

Breakdown of invariant attractors for the dissipative standard map

CELLETTI, ALESSANDRA
2010-01-01

Abstract

We implement different methods for the computation of the breakdown threshold of invariant attractors in the dissipative standard mapping. A first approach is based on the computation of the Sobolev norms of the function parametrizing the solution. Then we look for the approximating periodic orbits and we analyze their stability in order to compute the critical threshold at which an invariant attractor breaks down. We also determine the domain of convergence of the dissipative standard mapping by extending the computations to the complex parameter space as well as by investigating a two-frequency model.
2010
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
Calleja, R., Celletti, A. (2010). Breakdown of invariant attractors for the dissipative standard map. CHAOS, 20(1) [10.1063/1.3335408].
Calleja, R; Celletti, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/9086
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