A K-theoretical invariant and bifurcation for homoclinics of Hamiltonian systems

作者：Portaluri Alessandro^*; Waterstraat Nils

来源：Journal of Fixed Point Theory and Applications, 2017, 19(1): 833-851.

DOI：10.1007/s11784-016-0378-9

• Bifurcation of critical points
• homoclinics of Hamiltonian systems
• several parameter bifurcation

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.

• 出版日期2017-3