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This article is cited in 4 scientific papers (total in 4 papers)
Exponential Stability in the Perturbed Central Force Problem
Dario Bambusi, Alessandra Fusè, Marco Sansottera Dipartimento di Matematica “Federigo Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133 Milano
Abstract:
We consider the spatial central force problem with a real analytic potential. We prove that for all analytic potentials, but for the Keplerian and the harmonic ones, the Hamiltonian fulfills a nondegeneracy property needed for the applicability of Nekhoroshev’s theorem. We deduce stability of the actions over exponentially long times when the system is subject to an arbitrary analytic perturbation. The case where the central system is put in interaction with a slow system is also studied and stability over exponentially long time is proved.
Keywords:
exponential stability, Nekhoroshev theory, perturbation theory, normal form theory, central force problem.
Received: 30.01.2018 Accepted: 04.12.2018
Citation:
Dario Bambusi, Alessandra Fusè, Marco Sansottera, “Exponential Stability in the Perturbed Central Force Problem”, Regul. Chaotic Dyn., 23:7-8 (2018), 821–841
Linking options:
https://www.mathnet.ru/eng/rcd369 https://www.mathnet.ru/eng/rcd/v23/i7/p821
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Abstract page: | 140 | References: | 28 |
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