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.
Celletti, A., Chierchia, L. (2009). Quasi-periodic attractors in celestial mechanics. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 191(2), 311-345 [10.1007/s00205-008-0141-5].
Quasi-periodic attractors in celestial mechanics
CELLETTI, ALESSANDRA;
2009-01-01
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.File in questo prodotto:
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