Maslov (P, ω)-Index Theory for Symplectic Paths

DOI10.1515/ans-2015-0412zbMath1342.53103OpenAlexW2508029930MaRDI QIDQ3463735

Shanshan Tang, Chun-gen Liu

Publication date: 20 January 2016

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2015-0412

zbMATH Keywords

Hamiltonian systemsymplectic pathBott-type iteration formulaMaslov (\(P, \omega\))-index

Mathematics Subject Classification ID

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, Minimal \(P\)-cyclic periodic brake orbits in Hamiltonian systems, The iteration formulae of the Maslov-type index theory in weak symplectic Hilbert space, The existence of periodic solutions for second-order delay differential systems, Decomposition of spectral flow and Bott-type iteration formula, Iteration inequalities of the Maslov \(P\)-index theory with applications, A note on the relations between the various index theories, Multiplicity of closed characteristics on \(P\)-symmetric compact convex hypersurfaces in \(\mathbb{R}^{2n}\), 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, A dihedral Bott-type iteration formula and stability of symmetric periodic orbits, Mean index for non-periodic orbits in Hamiltonian systems, Instability of semi-Riemannian closed geodesics

Cites Work

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