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
Received September 12, 2008; accepted November 28, 2008
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.
MSC2000 numbers: 70K55, 37J10, 65P40, 70K43
DOI: 10.1134/S1560354709010067
Key words: dissipative standard map, dissipative spin-orbit problem, invariant attractors,
periodic attractors