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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
Nekhoroshev Theorem for Perturbations of the Central Motion
Dario Bambusi, Alessandra Fusè Dipartimento di Matematica, Università degli Studi di Milano,
Via Saldini 50, I-20133 Milano
Аннотация:
In this paper we prove a Nekhoroshev type theorem for perturbations of Hamiltonians describing a particle subject to the force due to a central potential. Precisely, we prove that under an explicit condition on the potential, the Hamiltonian of the central motion is quasiconvex. Thus, when it is perturbed, two actions (the modulus of the total angular momentum and the action of the reduced radial system) are approximately conserved for times which are exponentially long with the inverse of the perturbation parameter.
Ключевые слова:
Nekhoroshev theorem, central motion, Hamiltonian dynamics.
Поступила в редакцию: 30.09.2016 Принята в печать: 16.12.2016
Образец цитирования:
Dario Bambusi, Alessandra Fusè, “Nekhoroshev Theorem for Perturbations of the Central Motion”, Regul. Chaotic Dyn., 22:1 (2017), 18–26
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd241 https://www.mathnet.ru/rus/rcd/v22/i1/p18
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