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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
