Heteroclinic and homoclinic solutions for a singular Hamiltonian system
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Publication:3421518
DOI10.1017/S0956792506006516zbMath1160.37390MaRDI QIDQ3421518
Publication date: 7 February 2007
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Variational methods involving nonlinear operators (47J30) Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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Homoclinic solutions for a second-order singular differential equation ⋮ Homoclinic orbits for a class of singular second order Hamiltonian systems in \(\mathbb R^{3}\) ⋮ The shadowing chain lemma for singular Hamiltonian systems involving strong forces ⋮ Existence of homoclinic orbits for a singular differential equation involving \(p\)-Laplacian ⋮ Connecting orbits for a periodically forced singular planar Newtonian system ⋮ Homoclinic solutions for a class of second order nonautonomous singular Hamiltonian systems ⋮ On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions ⋮ Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity ⋮ Homoclinic orbits for an almost periodically forced singular Newtonian system in R3 ⋮ Two families of infinitely many homoclinics for singular strong force Hamiltonian systems
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