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Persistence of Lower Dimensional Tori for a Class of Nearly Integrable Reversible Systems

โœ Scribed by Xiaocai Wang; Dongfeng Zhang; Junxiang Xu


Publisher
Springer Netherlands
Year
2011
Tongue
English
Weight
568 KB
Volume
115
Category
Article
ISSN
0167-8019

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Perturbations of Lower Dimensional Tori
โœ Wei Baoshe ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 136 KB

Consider a nearly integrable system which is reversible with respect to an ลฝ . 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 inv