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Scattered homoclinics to a class of time-recurrent Hamiltonian systems

Published online by Cambridge University Press:  05 June 2007

Gregory S. Spradlin
Gregory S. Spradlin*
Affiliation:
Department of Mathematics, Embry-Riddle University, Daytona Beach, Florida 32114-3900, USA; spradlig@erau.edu
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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 theoremPalais-Smale sequencesalmost periodicHamiltonian system
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 13 , Issue 3 , July 2007 , pp. 528 - 537
Copyright
© EDP Sciences, SMAI, 2007

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References

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