THE NUMBER OF STABLE PERIODIC-SOLUTIONS OF TIME-DEPENDENT HAMILTONIAN-SYSTEMS WITH ONE DEGREE-OF-FREEDOM

Authors
ORTEGA R
Citation
R. Ortega, THE NUMBER OF STABLE PERIODIC-SOLUTIONS OF TIME-DEPENDENT HAMILTONIAN-SYSTEMS WITH ONE DEGREE-OF-FREEDOM, Ergodic theory & dynamical systems, 18, 1998, pp. 1007-1018
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
Ergodic theory & dynamical systems → ACNP
ISSN journal
01433857
Volume
18
Year of publication
1998
Part
4
Pages
1007 - 1018
Database
ISI
SICI code
0143-3857(1998)18:<1007:TNOSPO>2.0.ZU;2-U
Abstract
Let F : R-2 --> R-2 be a mapping that is analytic and area preserving. If F not equal identity, then every stable fixed point is isolated. T his result can be applied to prove that the number of stable periodic solutions of a fixed period of certain Hamiltonian systems is finite.