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Эта публикация цитируется в 8 научных статьях (всего в 8 статьях)
Normal Forms, Stability and Splitting of Invariant Manifolds II. Finitely Differentiable Hamiltonians
Abed Bounemoura Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C,
08193, Bellaterra, Barcelona, Spain
Аннотация:
This paper is a sequel to "Normal forms, stability and splitting of invariant manifolds I. Gevrey Hamiltonians", in which we gave a new construction of resonant normal forms with an exponentially small remainder for near-integrable Gevrey Hamiltonians at a quasiperiodic frequency, using a method of periodic approximations. In this second part we focus on finitely differentiable Hamiltonians, and we derive normal forms with a polynomially small remainder. As applications, we obtain a polynomially large upper bound on the stability time for the evolution of the action variables and a polynomially small upper bound on the splitting of invariant manifolds for hyperbolic tori.
Ключевые слова:
perturbation of integrable Hamiltonian systems, normal forms, splitting of invariant manifolds.
Поступила в редакцию: 06.12.2012 Принята в печать: 08.04.2013
Образец цитирования:
Abed Bounemoura, “Normal Forms, Stability and Splitting of Invariant Manifolds II. Finitely Differentiable Hamiltonians”, Regul. Chaotic Dyn., 18:3 (2013), 261–276
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd113 https://www.mathnet.ru/rus/rcd/v18/i3/p261
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Страница аннотации: | 119 | Список литературы: | 23 |
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