The Mel'nikov subharmonic function and the non-existence of analytic integrals in non-autonomous systems

Authors
Meletlidou, E
Citation
E. Meletlidou, The Mel'nikov subharmonic function and the non-existence of analytic integrals in non-autonomous systems, CEL MEC DYN, 78(1-4), 2000, pp. 161-166
Citations number
7
Categorie Soggetti
Space Sciences
Journal title
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
ISSN journal
09232958 → ACNP
Volume
78
Issue
1-4
Year of publication
2000
Pages
161 - 166
Database
ISI
SICI code
0923-2958(2000)78:1-4<161:TMSFAT>2.0.ZU;2-4
Abstract
We consider a one-dimensional non-degenerate Hamiltonian system perturbed b y a periodically time dependent non-Hamiltonian vector field and show that the non-vanishing of the Mel'nikov subharmonic function is strongly related to the non-existence of an analytic integral in the perturbed system.