Bifurcation of Homoclinic Solutions for Hamiltonian Systems
Copyright policy )Bifurcation of Homoclinic Solutions for Hamiltonian Systems
We consider the Hamiltonian system Ju'(x) + Mu(x) – \bigtriangledown _u F(x,u(x)) = \lambda u(x). Using variational methods obtained by Stuart on the one hand and by Giacomoni and Jeanjean on the other, we get bifurcation results for homoclinic solutions by imposing conditions on the function F . We study both the case where F is defined globally with respect to u and the case where F is defined locally only.
Hamilton's equations, Bifurcation theory for ordinary differential equations, homoclinic solutions, Variational methods involving nonlinear operators, Applications of operator theory to differential and integral equations, bifurcation, variational methods, Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian system, Homoclinic and heteroclinic solutions to ordinary differential equations, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods
Hamilton's equations, Bifurcation theory for ordinary differential equations, homoclinic solutions, Variational methods involving nonlinear operators, Applications of operator theory to differential and integral equations, bifurcation, variational methods, Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian system, Homoclinic and heteroclinic solutions to ordinary differential equations, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!