We consider the Hamiltonian system
Using variational methods obtained by Stuart on the one hand and by Giacomoni and Jeanjean on the other, we get bifurcation results for homoclinic solutions by imposing conditions on the function . We study both the case where is defined globally with respect to and the case where is defined locally only.
Cite this article
Robert Joosten, Bifurcation of Homoclinic Solutions for Hamiltonian Systems. Z. Anal. Anwend. 21 (2002), no. 4, pp. 985–1004DOI 10.4171/ZAA/1121