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
International audienceWe focus on the equations of motion related to the “dissipative spin–orbit mod...
We investigate the dynamics associated to nearly integrable dissipative systems, with particular ref...
We present analytical and numerical investigations of the dynamics of the dissipative standard map. ...
We prove that KAM tori smoothly bifurcate into quasi-periodic attractors in dissipative mechanical m...
The influence of dissipative effects on classical dynamical models of Celestial Mechanics is of basi...
We provide evidence of the existence of KAM quasi-periodic attractors for a dissipative model in Cel...
We discuss some aspects of conservative and dissipative KAM theorems, with particular reference to a...
International audienceWe consider a particular class of equations of motion, generalizing to n degre...
We consider a particular class of equations of motion, generalizing to n degrees of freedom the "dis...
International audienceWe focus on the equations of motion related to the “dissipative spin–orbit mod...
We investigate the dynamics associated to nearly integrable dissipative systems, with particular ref...
We present analytical and numerical investigations of the dynamics of the dissipative standard map. ...
We prove that KAM tori smoothly bifurcate into quasi-periodic attractors in dissipative mechanical m...
The influence of dissipative effects on classical dynamical models of Celestial Mechanics is of basi...
We provide evidence of the existence of KAM quasi-periodic attractors for a dissipative model in Cel...
We discuss some aspects of conservative and dissipative KAM theorems, with particular reference to a...
International audienceWe consider a particular class of equations of motion, generalizing to n degre...
We consider a particular class of equations of motion, generalizing to n degrees of freedom the "dis...
International audienceWe focus on the equations of motion related to the “dissipative spin–orbit mod...
We investigate the dynamics associated to nearly integrable dissipative systems, with particular ref...
We present analytical and numerical investigations of the dynamics of the dissipative standard map. ...
DOI
Add to ORKG