Nonexistence of invariant curves of mappings with small twist

Nonlinearity

Volumn 10, Issue 1, 1997, Pages 195-197

  Ortega, Rafael ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038862302     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/10/1/013     Document Type: Article

References (7)

1. Herman M 1983 Sur les courbes invariantes par les diffémorphismes de l'anneau I Astérisque 103-4
2. Kruger T, Pustyl'nikov L D and Troubetzkoy S E 1995 Acceleration of bouncing balls in external fields Nonlinearity 8 397-410
3. Mather J N 1984 Non-existence of invariant circles Ergod. Theor. Dyn. Syst. 4 301-9
4. Moser J 1962 On invariant curves of area-preserving mappings of an annulus Nachr. Akad. Wiss. Gottingen Math. Phys. Kl 2, 6 1-20
5. Pustyl'nikov L D 1995 Existence of invariant curves for maps close to degenerate maps and a solution of the Fermi-Ulam problem Russian Acad. Sci. Sb. Math. 82 231-41
6. Pustyl'nikov L D 1995 Poincaré models, rigorous justification of the second element of thermodynamics on the basis of mechanics, and the Fermi acceleration mechanism Russian Math. Surveys 50 143-86
7. Siegel C L and Moser J 1971 Lectures on Celestial Mechanics (Berlin: Springer)