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

Alessandro Portaluri; Nils Waterstraat

doi:10.1007/s11784-016-0378-9

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

Alessandro Portaluri, Nils Waterstraat

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	833-851
Number of pages	19
Journal	Journal of Fixed Point Theory and Applications
Volume	19
Issue number	1
DOIs	https://doi.org/10.1007/s11784-016-0378-9
State	Published - Mar 1 2017

Keywords

Bifurcation of critical points
homoclinics of Hamiltonian systems
several parameter bifurcation

ASJC Scopus subject areas

Modeling and Simulation
Geometry and Topology
Applied Mathematics

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10.1007/s11784-016-0378-9

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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.",

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AB - 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.

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

Abstract

Keywords

ASJC Scopus subject areas

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