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Repozytorium publikacji
Politechniki Gdańskiej

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Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3

We consider a conservative second order Hamiltonian system \ddot{q}+ ∇V(q)=0 in R3 with a potential V having a global maximum at the origin and a line l ∩ {0} = ∅ as a set of singular points. Under a certain compactness condition on V at infinity and a strong force condition at singular points we study, by the use of variational methods and geometrical arguments, the existence of homoclinic solutions of the system.

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