Iteration theory of \(L\)-index and multiplicity of brake orbits

DOI10.1016/j.jde.2014.05.006zbMath1366.37129arXiv0908.0021OpenAlexW2962839204MaRDI QIDQ2451925

Duanzhi Zhang, Chun-gen Liu

Publication date: 27 May 2014

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

Full work available at URL: https://arxiv.org/abs/0908.0021

zbMATH Keywords

convex symmetric domainMaslov-type indexbrake orbitBott-type iteration formula

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) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

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Minimal brake orbits of first-order convex Hamiltonian systems with anisotropic growth, Brake subharmonic solutions of subquadratic Hamiltonian systems, Seifert Conjecture in the Even Convex Case, Equivariant wrapped Floer homology and symmetric periodic Reeb orbits, Multiple subharmonic solutions in Hamiltonian system with symmetries, Periodic solutions of asymptotically linear delay differential systems via Hamiltonian systems, Brake subharmonic solutions of first order Hamiltonian systems, The iteration formulae of the Maslov-type index theory in weak symplectic Hilbert space, Multiple brake orbits of even Hamiltonian systems on torus, Index iteration theories for periodic orbits: old and new, Decomposition of spectral flow and Bott-type iteration formula, Multiplicity of symmetric brake orbits of asymptotically linear symmetric reversible Hamiltonian systems, Brake orbits with minimal period estimates of first-order variant subquadratic Hamiltonian systems, Unnamed Item, Minimal periodic problem for brake orbits of first-order Hamiltonian systems, Stability of the brake orbits on reversible symmetric compact convex hypersurfaces in \(R^{2n}\), A note on the relations between the various index theories, Hörmander index in finite-dimensional case, Minimal period solutions in asymptotically linear Hamiltonian system with symmetries, Multiplicity of closed characteristics on \(P\)-symmetric compact convex hypersurfaces in \(\mathbb{R}^{2n}\), Collision index and stability of elliptic relative equilibria in planar \(n\)-body problem, Brake orbits of first order convex Hamiltonian systems with particular anisotropic growth, A dihedral Bott-type iteration formula and stability of symmetric periodic orbits, Multiple brake orbits on compact convex symmetric reversible hypersurfaces in \(\mathbb{R}^{2 n}\), The study of minimal period estimates for brake orbits of autonomous subquadratic Hamiltonian systems, Iteration formulae for brake orbit and index inequalities for real pseudoholomorphic curves

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