THE PERIOD FUNCTION FOR HAMILTONIAN-SYSTEMS WITH HOMOGENEOUS NONLINEARITIES

Authors
GASULL A GUILLAMON A MANOSA V MANOSAS F
Citation
A. Gasull et al., THE PERIOD FUNCTION FOR HAMILTONIAN-SYSTEMS WITH HOMOGENEOUS NONLINEARITIES, Journal of differential equations, 139(2), 1997, pp. 237-260
Citations number
20
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of differential equations → ACNP
ISSN journal
00220396
Volume
139
Issue
2
Year of publication
1997
Pages
237 - 260
Database
ISI
SICI code
0022-0396(1997)139:2<237:TPFFHW>2.0.ZU;2-V
Abstract
The paper deals with Hamiltonian systems with homogeneous nonlineariti es. We prove that such systems have no isochronous centers, that the p eriod annulus of any of its centres is either bounded or the whole pla ne and that the period function associated to the origin has at most o ne critical point. (C) 1997 Academic Press.