Quasi-Periodic Attractors in Celestial Mechanics
Abstract
We prove that KAM tori smoothly bifurcate into quasi-periodic attractors in dissipative mechanical models, provided external parameters are tuned with the frequency of the motion. An application to the dissipative spin-orbit model of celestial mechanics (which actually motivated the analysis in this paper) is presented.
- Publication:
-
Archive for Rational Mechanics and Analysis
- Pub Date:
- February 2009
- DOI:
- 10.1007/s00205-008-0141-5
- Bibcode:
- 2009ArRMA.191..311C