On a theorem by Mather and Aubry-Mather sets for planar Hamiltonian systems

Science in China, Series A: Mathematics, Physics, Astronomy

Volumn 42, Issue 11, 1999, Pages

  Meiyue, Jiang ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

Aubry Mather set; Planar Hamiltonian system

Indexed keywords

EID: 0041733011     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Mather, J. N., Existence of quasiperiodic orbit for twist homeomorphisms of the annulus, Topology, 1982, 21: 457.
2. Aubry, S., LeDaeron, P. Y., The discrete Frenkel Kontorova model and its application, Physica, 1983, 8D: 381.
3. Denzler, J., Mather sets for plane Hamiltonian systems, ZAMP, 1987, 38: 791.
4. Jiang, M. Y., Pei, M. L., Mather sets for superlinear plane Hamiltonian systems, Dynamic Systems and Applications, 1993, 2: 189.
5. Pei, M. L., Mather sets for superlinear Duffing equations, Science in China, Ser. A, 1993, 36: 524.
6. Pei, M. L., Mather sets for finite twist maps of a cylinder and semilinear Duffing equations, J. Diff. Equa., 1994, 113: 106.
7. Mather, J. N., Action minimizing invariant measures for positive definite Lagrangian systems, Math. Z., 1991, 207: 169.
8. Moser, J., Recent developments in the theory of Hamiltonian systems, SIAM Review, 1986, 28: 459.