One-parameter families of area-preserving twist maps of the form F-epsilon(x, y) = (x + y + epsilon-f(x), y + epsilon-f(x)) are considered. Various invariant curves, for the maps corresponding to f(x) = sin x and f(x) = sin x + (1/50) sin(5x), are rigorously constructed for large values of the nonlinearity parameter-epsilon. For larger values of epsilon, close to critical, some numerical experiments are briefly discussed.

Celletti, A., Chierchia, L. (1991). Invariant curves for area-preserving twist maps far from integrable. JOURNAL OF STATISTICAL PHYSICS, 65, 617 [10.1007/BF01053746].

Invariant curves for area-preserving twist maps far from integrable

CELLETTI, ALESSANDRA;
1991-01-01

Abstract

One-parameter families of area-preserving twist maps of the form F-epsilon(x, y) = (x + y + epsilon-f(x), y + epsilon-f(x)) are considered. Various invariant curves, for the maps corresponding to f(x) = sin x and f(x) = sin x + (1/50) sin(5x), are rigorously constructed for large values of the nonlinearity parameter-epsilon. For larger values of epsilon, close to critical, some numerical experiments are briefly discussed.
1991
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
Conservative dynamical systems; effective stability estimates; invariant curves; KAM theory; twist maps
Celletti, A., Chierchia, L. (1991). Invariant curves for area-preserving twist maps far from integrable. JOURNAL OF STATISTICAL PHYSICS, 65, 617 [10.1007/BF01053746].
Celletti, A; Chierchia, L
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/47108
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