Perturbations of Lower Dimensional Tori in the Resonant Zone for Reversible Systems

✍ Scribed by Wei Baoshe

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 136 KB
• Volume: 253
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.7165

✦ Synopsis

Consider a nearly integrable system which is reversible with respect to an Ž . involution of n, n type. For a given l-resonant surface, 1ln, we show that there is a subset of it with positive measure, such that in each resonant torus corresponding to a point of this set, at least one dimensional invariant submanifold can survive any small perturbations.