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.
ESAIM: Control, Optimisation and Calculus of Variations
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Spradlin, G. S. (2007). Scattered Homoclinics to a Class of Time-Recurrent Hamiltonian Systems. ESAIM: Control, Optimisation and Calculus of Variations, 13(3). https://doi.org/10.1051/cocv:2007023