Scattered homoclinics to a class of time-recurrent hamiltonian systems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 3, pp. 528-537.

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.

DOI : 10.1051/cocv:2007023
Classification : 34C37, 47J30
Mots-clés : mountain pass theorem, Palais-Smale sequences, almost periodic, hamiltonian system 
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     author = {Spradlin, Gregory S.},
     title = {Scattered homoclinics to a class of time-recurrent hamiltonian systems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {528--537},
     publisher = {EDP-Sciences},
     volume = {13},
     number = {3},
     year = {2007},
     doi = {10.1051/cocv:2007023},
     mrnumber = {2329174},
     zbl = {1124.37037},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/cocv:2007023/}
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Spradlin, Gregory S. Scattered homoclinics to a class of time-recurrent hamiltonian systems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 3, pp. 528-537. doi : 10.1051/cocv:2007023. http://archive.numdam.org/articles/10.1051/cocv:2007023/

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