Spectral flow, crossing forms and homoclinics of Hamiltonian systems

DOI10.1112/plms/pdv028zbMath1341.58015arXiv1406.3760OpenAlexW2126371289MaRDI QIDQ2942791

Nils Waterstraat

Publication date: 11 September 2015

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3760

zbMATH Keywords

spectral flowHamiltonian systemMaslov indexcrossing formshomoclinics

Mathematics Subject Classification ID

Spectral flows (58J30) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

The Maslov index and the spectral flow-revisited, The index bundle for selfadjoint Fredholm operators and multiparameter bifurcation for Hamiltonian systems, An index theory for asymptotic motions under singular potentials, Index theory for heteroclinic orbits of Hamiltonian systems, On a comparison principle and the uniqueness of spectral flow, Sturm theory with applications in geometry and classical mechanics, On the Fredholm Lagrangian Grassmannian, spectral flow and ODEs in Hilbert spaces, Linear instability for periodic orbits of non-autonomous Lagrangian systems, A \(K\)-theoretical invariant and bifurcation for homoclinics of Hamiltonian systems, A Morse-Smale index theorem for indefinite elliptic systems and bifurcation, A dihedral Bott-type iteration formula and stability of symmetric periodic orbits, Instability of semi-Riemannian closed geodesics

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