The stability of invariant (KAM) surfaces for nonintegrable dynamical systems with few degrees of freedom, as a nonlinearity parameter is increased, is considered. A rigorous method, which allows one to construct explicitly such surfaces, is discussed. A byproduct of this method allows one to give lower bounds on breakdown thresholds and applications to the standard map and to a two wave hamiltonian system yield results that agree within 60% with the numerical expectations.
Celletti, A., Chierchia, L. (1988). On rigorous stability results for low-dimensional KAM surfaces. PHYSICS LETTERS A, 128(3-4), 166-168 [10.1016/0375-9601(88)90902-4].
On rigorous stability results for low-dimensional KAM surfaces
CELLETTI, ALESSANDRA;
1988-01-01
Abstract
The stability of invariant (KAM) surfaces for nonintegrable dynamical systems with few degrees of freedom, as a nonlinearity parameter is increased, is considered. A rigorous method, which allows one to construct explicitly such surfaces, is discussed. A byproduct of this method allows one to give lower bounds on breakdown thresholds and applications to the standard map and to a two wave hamiltonian system yield results that agree within 60% with the numerical expectations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
