Résumé
We study the behaviour of the standard map critical function in a neighbourhood of a fixed resonance, that is the scaling law at the fixed resonance. We prove that for the fundamental resonance the scaling law is linear. We show numerical evidence that for the other resonances p/q, q>1, p \neq 0 and p and q relatively prime, the scaling law follows a power-law with exponent 1/q.
langue originale | Anglais |
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Pages (de - à) | 2033-2061 |
Nombre de pages | 29 |
journal | Nonlinearity |
Volume | 13 |
Etat de la publication | Publié - 2000 |