Global bifurcation of homoclinic solutions of Hamiltonian systems
Copyright policy )Global bifurcation of homoclinic solutions of Hamiltonian systems
We provide global bifurcation results for a class of nonlinear hamiltonian systems
25 pages
homoclinic solution of a Hamiltonian system, Bifurcation theory for ordinary differential equations, Degree theory for nonlinear operators, topological degree of a Fredholm operator, 34C37, Dynamical Systems (math.DS), global bifurcation, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods, 34C23, Mathematics - Spectral Theory, FOS: Mathematics, Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems, 34C37; 34C23, Mathematics - Dynamical Systems, Hamiltonian system; homoclinic solution; global bifurcation; topological degree; Fredholm operator; proper map, Spectral Theory (math.SP)
homoclinic solution of a Hamiltonian system, Bifurcation theory for ordinary differential equations, Degree theory for nonlinear operators, topological degree of a Fredholm operator, 34C37, Dynamical Systems (math.DS), global bifurcation, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods, 34C23, Mathematics - Spectral Theory, FOS: Mathematics, Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems, 34C37; 34C23, Mathematics - Dynamical Systems, Hamiltonian system; homoclinic solution; global bifurcation; topological degree; Fredholm operator; proper map, Spectral Theory (math.SP)
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