Electron. J. Diff. Eqns., Vol. 2000(2000), No. 57, pp. 1-21.

Variational and penalization methods for studying connecting orbits of Hamiltonian systems

Chao-Nien Chen & Shyuh-yaur Tzeng

Abstract:
In this article, we consider a class of second order Hamiltonian systems that possess infinite or finite number of equilibria. Variational arguments will be used to study the existence of connecting orbits joining pairs of equilibria. Applying penalization methods, we obtain various patterns for multibump homoclinics and heteroclinics of Hamiltonian systems.

Submitted November 11, 1999. Published August 22, 2000.
Math Subject Classifications: 34C37, 49M30, 58E99, 58F09.
Key Words: Hamiltonian system, homoclinic, heteroclinic, calculus of variations.

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Chao-Nien Chen
Department of Mathematics
National Changhua University of Education
Changhua, Taiwan, ROC
e-mail: chenc@math.ncue.edu.tw
Shyuh-yaur Tzeng
Department of Mathematics
National Changhua University of Education
Changhua, Taiwan, ROC
e-mail: tzeng@math.ncue.edu.tw

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