Spectral flow, crossing forms and homoclinics of Hamiltonian systems

Waterstraat, Nils (2015) Spectral flow, crossing forms and homoclinics of Hamiltonian systems. Proceedings of the London Mathematical Society, 3 (111). pp. 275-304. ISSN 0024-6115. (doi:10.1112/plms/pdv028) (KAR id:51393)

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Official URL: http://www.dx.doi.org/10.1112/plms/pdv028
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Abstract

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 amiltonian vector fields.

Item Type:	Article
DOI/Identification number:	10.1112/plms/pdv028
Additional information:	Imported from arXiv
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Nils Waterstraat
Date Deposited:	03 Nov 2015 12:32 UTC
Last Modified:	20 May 2025 11:37 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/51393 (The current URI for this page, for reference purposes)

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Waterstraat, Nils.

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