This article is cited in 8 papers

JÜRGEN MOSER – 80

Periodic and Quasi-periodic Attractors of Weakly-dissipative Nearly-integrable Systems

A. Celletti

Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Roma, Italy

Abstract: We consider nearly-integrable systems under a relatively small dissipation. In particular we investigate two specific models: the discrete dissipative standard map and the continuous dissipative spin-orbit model. With reference to such samples, we review some analytical and numerical results about the persistence of invariant attractors and of periodic attractors.

Keywords: dissipative standard map, dissipative spin-orbit problem, invariant attractors, periodic attractors.

MSC: 70K55, 37J10, 65P40, 70K43

Received: 12.09.2008
Accepted: 28.11.2008

Language: English

DOI: 10.1134/S1560354709010067

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