Scattered homoclinics to a class of time-recurrent Hamiltonian systems

Citation data:

ESAIM: Control, Optimisation and Calculus of Variations, ISSN: 1292-8119, Vol: 13, Issue: 3, Page: 528-537

Publication Year:
2007
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Repository URL:
https://commons.erau.edu/db-mathematics/2; https://works.bepress.com/greg_spradlin/6
DOI:
10.1051/cocv:2007023
Author(s):
Spradlin, Gregory S.
Publisher(s):
EDP Sciences
Tags:
Engineering; Mathematics; mountain pass theorem; Palais-Smale sequences; almost periodic; Hamiltonian system; Mountain pass theorem
article description
A second-order Hamiltonian system with time recurrence is studied. The recurrence condition is weaker than almost periodicity. The existence is proven of an infinite family of solutions homoclinic to zero whose support is spread out over the real line. © EDP Sciences, SMAI 2007.