Homoclinic Orbits for a Class of Symmetric Hamiltonian Systems
Date
1994-02-15
Authors
Korman, Philip
Lazer, Alan C.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study existence of homoclinic orbits for a class of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits. We use variational approach.
Description
Keywords
Homoclinic orbits, Mountain-pass lemma
Citation
Korman, P. & Lazer, A. C. (1994). Homoclinic orbits for a class of symmetric Hamiltonian systems. <i>Electronic Journal of Differential Equations, 1994</i>(01), pp. 1-10.
Rights
Attribution 4.0 International