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
Citation:
Celletti A., Periodic and Quasi-periodic Attractors of Weakly-dissipative Nearly-integrable Systems, Regular and Chaotic Dynamics,
2009, Volume 14, Number 1,
pp. 49-63