On Invariant Tori of Nearly Integrable Hamiltonian Systems with Quasiperiodic Perturbation
oleh: Cheng Rong, Zhang Dongfeng
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2010-01-01 |
Deskripsi
<p/> <p>We are concerned with the persistence of frequency of invariant tori for analytic integrable Hamiltonian system with quasiperiodic perturbation. It is proved that if the unperturbed system satisfies the Rüssmann's nondegeneracy condition and has nonzero Brouwer's topological degree at some Diophantine frequency; the perturbed system satisfies the colinked nonresonant condition, then the invariant torus with this frequency persists under quasiperiodic perturbation.</p>