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

• Autorzy: Joanna Janczewska , Jakub Maksymiuk
• Języki publikacji: EN

Abstrakty

EN

We consider a conservative second order Hamiltonian system $$\ddot q + \nabla V(q) = 0$$ in ℝ3 with a potential V having a global maximum at the origin and a line l ∩ {0} = ϑ 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.

Słowa kluczowe

EN

Homoclinic orbit; Rotation number; Strong force

Kategorie tematyczne

• 70H05: Hamilton's equations
• 34C37: Homoclinic and heteroclinic solutions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 6
• Strony: 1920-1927

Daty

wydano

2012-12-01

online

2012-10-12

Twórcy

autor

Joanna Janczewska

• Faculty of Technical Physics and Applied Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-233, Gdańsk, Poland

autor

Jakub Maksymiuk

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0096-5