Skip to main content
profile image
Selected Works of Gregory S. Spradlin
Article
Scattered Homoclinics to a Class of Time-recurrent Hamiltonian Systems
ESAIM: Control, Optimisation and Calculus of Variations (2007)
  • Gregory S. Spradlin, Embry-Riddle Aeronautical University
Download Find in your library
Abstract
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.
Keywords
  • Mountain pass theorem,
  • Palais-Smale sequences,
  • almost periodic,
  • Hamiltonian system
Disciplines
Publication Date
July, 2007
DOI
https://doi.org/10.1051/cocv:2007023
Publisher Statement
Copyright held by EDP Sciences.The original publication is available at <a href="http://www.esaim-cocv.org">full-text article</a>
Citation Information
Gregory S. Spradlin. "Scattered Homoclinics to a Class of Time-recurrent Hamiltonian Systems" ESAIM: Control, Optimisation and Calculus of Variations Vol. 13 Iss. 3 (2007) p. 528 - 537 ISSN: 1292-8119
Available at: http://works.bepress.com/greg_spradlin/6/