Periodic solutions and their connecting orbits of hamiltonian systems

Authors
Chen, CN Tzeng, SY
Citation
Cn. Chen et Sy. Tzeng, Periodic solutions and their connecting orbits of hamiltonian systems, J DIFF EQUA, 177(1), 2001, pp. 121-145
Citations number
32
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396 → ACNP
Volume
177
Issue
1
Year of publication
2001
Pages
121 - 145
Database
ISI
SICI code
0022-0396(20011120)177:1<121:PSATCO>2.0.ZU;2-B
Abstract
This article deals with second order periodic Hamiltonian systems. We apply variational methods to obtain non-constant periodic solutions. For the tim e reversible Hamiltonian systems. there exist connecting orbits joining pai rs of periodic solutions. Our methods can also be used to treat heteroclini c orbits connecting an equilibrium to a periodic solution. (C) 2001 Academi c Press.