Bifurcation for strongly indefinite functionals and a Liapunov type theorem for Hamiltonian systems

zbMath0841.34045MaRDI QIDQ1314623

Andrzej Szulkin

Publication date: 1 May 1996

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Morse theorybifurcationperiodic solutionlinear Hamiltonian system

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Bifurcations in context of PDEs (35B32)

Related Items (10)

Degenerate bifurcation points of periodic solutions of autonomous Hamiltonian systems ⋮ Periodic solutions of symmetric Hamiltonian systems ⋮ Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces ⋮ Global bifurcations of critical orbits of \(G\)-invariant strongly indefinite functionals ⋮ Degenerate branching points of autonomous Hamiltonian systems. ⋮ Periodic solutions to symmetric Newtonian systems in neighborhoods of orbits of equilibria ⋮ Symmetric Liapunov center theorem for minimal orbit ⋮ Symmetric Liapunov center theorem ⋮ The equivariant spectral flow and bifurcation of periodic solutions of Hamiltonian systems ⋮ Spectral flow and bifurcation of critical points of strongly indefinite functionals. II: Bifurcation of periodic orbits of Hamiltonian systems

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