Bifurcation of homoclinics of Hamiltonian systems

DOI10.1090/S0002-9939-08-09342-8zbMath1139.37042OpenAlexW2155149318MaRDI QIDQ3506741

Jacobo Pejsachowicz

Publication date: 17 June 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09342-8

zbMATH Keywords

spectral flowMaslov indexhomoclinic trajectories

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Spectral flows (58J30) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

Spectral flow, crossing forms and homoclinics of Hamiltonian systems ⋮ The index bundle for selfadjoint Fredholm operators and multiparameter bifurcation for Hamiltonian systems ⋮ Global bifurcation of homoclinic trajectories of discrete dynamical systems ⋮ On the Fredholm Lagrangian Grassmannian, spectral flow and ODEs in Hilbert spaces ⋮ A \(K\)-theoretical invariant and bifurcation for homoclinics of Hamiltonian systems ⋮ The index bundle and multiparameter bifurcation for discrete dynamical systems

Cites Work

• Unnamed Item
• Spectral flow and bifurcation of critical points of strongly-indefinite functionals. I: General theory
• Bifurcation into spectral gaps
• Spectral asymmetry and Riemannian geometry. III
• The Spectral Flow and the Maslov Index
• Bifurcation of homoclinics