A K-theoretical Invariant and Bifurcation for Homoclinics of Hamiltonian   Systems
  We revisit a K-theoretical invariant that was invented by the first author some years ago for studying multiparameter bifurcation of branches of critical points of functionals. Our main aim is to apply this invariant to investigate bifurcation of homoclinic solutions of families of Hamiltonian systems which are parametrised by tori. 
Alessandro Portaluri and Nils Waterstraat
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