Maslov \(P\)-index theory for a symplectic path with applications

DOI10.1007/s11401-004-0365-0zbMath1106.37010OpenAlexW2040657579MaRDI QIDQ2432009

Chun-gen Liu

Publication date: 24 October 2006

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-004-0365-0

zbMATH Keywords

Hamiltonian systemindex theorysymplectic pathnonperiodic boundary problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Lagrangian submanifolds; Maslov index (53D12) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items

Minimal \(P\)-symmetric period problem of first-order autonomous Hamiltonian systems, Minimal \(\mathcal{M} \)-symmetric periodic solutions of general Hamiltonian systems and delay differential equations, Subharmonic \(P^{l}\)-solutions of first order Hamiltonian systems, Periodic solutions of asymptotically linear delay differential systems via Hamiltonian systems, The existence of periodic solutions for second-order delay differential systems, Some abstract critical point theorems for self-adjoint operator equations and applications, Index iteration theories for periodic orbits: old and new, Periodic solutions of delay differential systems via Hamiltonian systems, Iteration inequalities of the Maslov \(P\)-index theory with applications, A note on the relations between the various index theories, Elliptic and non-hyperbolic closed characteristics on compact convex P-cyclic symmetric hypersurfaces in \(\mathbb{R}^{2n} \), Minimal period estimates on \(P\)-symmetric periodic solutions of first-order mild superquadratic Hamiltonian systems

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