%0 Journal Article
%T Spectral flow, crossing forms and homoclinics of Hamiltonian systems
%A Nils Waterstraat
%J Mathematics
%D 2014
%I arXiv
%X We prove a spectral flow formula for one-parameter families of Hamiltonian systems under homoclinic boundary conditions, which relates the spectral flow to the relative Maslov index of a pair of curves of Lagrangians induced by the stable and unstable subspaces, respectively. Finally, we deduce sufficient conditions for bifurcation of homoclinic trajectories of one-parameter families of nonautonomous Hamiltonian vector fields.
%U http://arxiv.org/abs/1406.3760v2