A K-theoretical Invariant and Bifurcation for Homoclinics of Hamiltonian Systems

Portaluri, Alessandro, Waterstraat, Nils (2016) A K-theoretical Invariant and Bifurcation for Homoclinics of Hamiltonian Systems. Journal of Fixed Point Theory and Applications, 19 (1). pp. 833-851. ISSN 1661-7738. E-ISSN 1661-7746. (doi:10.1007/s11784-016-0378-9) (KAR id:55881)

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https://doi.org/10.1007/s11784-016-0378-9

Abstract

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.

Item Type: Article 10.1007/s11784-016-0378-9 Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equationsQ Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics Nils Waterstraat 10 Jun 2016 16:12 UTC 11 Jul 2019 13:22 UTC https://kar.kent.ac.uk/id/eprint/55881 (The current URI for this page, for reference purposes)