ON THE NONEXISTENCE OF AN ANALYTIC INTEGRAL OF MOTION IN PERIODICALLYPERTURBED ONE DEGREE-OF-FREEDOM HAMILTONIANS

Authors
MELETLIDOU E ICHTIAROGLOU S
Citation
E. Meletlidou et S. Ichtiaroglou, ON THE NONEXISTENCE OF AN ANALYTIC INTEGRAL OF MOTION IN PERIODICALLYPERTURBED ONE DEGREE-OF-FREEDOM HAMILTONIANS, Physics letters. A, 188(2), 1994, pp. 157-163
Citations number
20
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
188
Issue
2
Year of publication
1994
Pages
157 - 163
Database
ISI
SICI code
0375-9601(1994)188:2<157:OTNOAA>2.0.ZU;2-V
Abstract
A criterion for proving non-integrability of one degree of freedom Ham iltonians of the form H-0 + epsilonH-1, where H-0 is autonomous and ep silonH-1 is a periodic time-dependent perturbation, is established. Ap plications to two such systems are made and relations of the criterion to the Melnikov subharmonic and homoclinic functions are found.