2 2 Ju n 20 05 Dynamics of Small Perturbations of Orbits on a Torus in a Quasiperiodically Forced 2 D Dissipative Map

@inproceedings{Jalnine200522J,
  title={2 2 Ju n 20 05 Dynamics of Small Perturbations of Orbits on a Torus in a Quasiperiodically Forced 2 D Dissipative Map},
  author={Alexey Yu. Jalnine and Sergey P. Kuznetsov and Andrew H. Osbaldestin},
  year={2005}
}
We consider the dynamics of small perturbations of stable two-frequency quasiperiodic orbits on an attracting torus in the quasiperiodically forced Hénon map. Such dynamics consists in an exponential decay of the radial component and in a complex behaviour of the angle component. This behaviour may be twoor three-frequency quasiperiodicity, or it may be… CONTINUE READING