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

Abstract

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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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
Central European Journal of Mathematics no. 10, edition 6, pages 1920 - 1927,
ISSN: 1895-1074
Language:
English
Publication year:
2012
Bibliographic description:
Janczewska J., Maksymiuk J.: Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3// Central European Journal of Mathematics. -Vol. 10, iss. 6 (2012), s.1920-1927
DOI:
Digital Object Identifier (open in new tab) 10.2478/s11533-012-0096-5
Verified by:
Gdańsk University of Technology

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