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This article is cited in 4 scientific papers (total in 4 papers)
Long term stability of proper rotations and local chaotic motions in the perturbed Euler rigid body
G. Benettin, F. Fassò, M. Guzzo Dipartimento di Matematica Pura e Applicata,
Università di Padova,
Via G. Belzoni 7, 35131 Padova, Italy
Abstract:
The long term stability of the proper rotations of the perturbed Euler rigid body was recently investigated analytically in the framework of Nekhoroshev theory. In this paper we perform a parallel numerical investigation, with the double aim of illustrating the theory and to submit it to a critical test. We focus the attention on the case of resonant motions, for which the stability is not trivial (resonant proper rotations are indeed stable in spite of the presence of local chaotic motions, with positive Lyapunov exponent, around them). The numerical results indicate that the analytic results are essentially optimal, apart from a particular resonance, actually the lowest order one, where the system turns out to be more stable than the theoretical expectation.
Keywords:
rigid body, Nekhoroshev theory, chaotic dynamics.
Received: 24.03.2005 Accepted: 01.07.2005
Citation:
G. Benettin, F. Fassò, M. Guzzo, “Long term stability of proper rotations and local chaotic motions in the perturbed Euler rigid body”, Regul. Chaotic Dyn., 11:1 (2006), 1–17
Linking options:
https://www.mathnet.ru/eng/rcd654 https://www.mathnet.ru/eng/rcd/v11/i1/p1
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