On lower dimensional invariant tori in reversible systems

Journal of Differential Equations

Volumn 176, Issue 1, 2001, Pages 158-194

  Liu, Bin ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035841051     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3960     Document Type: Article

References (16)

1. Birkhoff Kolmogorov Arnold Moser tori in convex Hamiltonian systems
2. KAM-type theorem on resonant surfaces for nearly integrable Hamiltonian systems
3. Perturbations of stable invariant tori
4. On the continuation of hyperbolic invariant tori for Hamiltonian systems
5. Convergent series expansions for quasi-periodic motions
6. On elliptic lower dimensional tori in Hamiltonian systems
7. KAM theory near multiplicity one resonant surfaces in perturbations of a-priori stable Hamiltonian systems
8. Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m
9. The iteration-approximation decoupling in the reversible KAM theory
10. Mechanism for destroying resonance tori of Hamiltonian systems
11. Invariant tori for nearly integrable Hamiltonian systems with degeneracy
12. Perturbations of lower dimensional tori for Hamiltonian systems
13. Lower dimensional tori of reversible Hamiltonian systems in the resonant zone
14. Generalized implicit function theorems with applications to some small divisor problems, I