Spectral flow and bifurcation of critical points of strongly indefinite functionals. II: Bifurcation of periodic orbits of Hamiltonian systems

DOI10.1006/jdeq.1999.3723zbMath0985.37057OpenAlexW1977530321MaRDI QIDQ1566826

Patrick M. Fitzpatrick, Jacobo Pejsachowicz, Lázaro Recht

Publication date: 7 August 2000

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3723

zbMATH Keywords

bifurcationperiodic orbitspectral flowHamiltonian systemgeneralized signature

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Dynamics induced by flows and semiflows (37C10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items

Spectral flow, crossing forms and homoclinics of Hamiltonian systems, Bifurcation of critical points for continuous families of \(C^2\) functionals of Fredholm type, A global bifurcation theorem for critical values in Banach spaces, Global bifurcations of critical orbits of \(G\)-invariant strongly indefinite functionals, On the Fredholm Lagrangian Grassmannian, spectral flow and ODEs in Hilbert spaces, A \(K\)-theoretical invariant and bifurcation for homoclinics of Hamiltonian systems, Morse index and bifurcation ofp-geodesics on semi Riemannian manifolds, A family index theorem for periodic Hamiltonian systems and bifurcation, Preservation of the Maslov index along bifurcating branches of solutions of first order systems in \(\mathbf {R}^{N}\), Spectral flow is a complete invariant for detecting bifurcation of critical points, The equivariant spectral flow and bifurcation of periodic solutions of Hamiltonian systems

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