A note on the existence of multiple brake orbits
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Publication:4289320
DOI10.1016/0362-546X(93)90061-VzbMath0811.70015OpenAlexW2001605093MaRDI QIDQ4289320
Antonio Ambrosetti, Long, Yiming, Vieri Benci
Publication date: 24 May 1994
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(93)90061-v
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03)
Related Items (22)
Minimal brake orbits of first-order convex Hamiltonian systems with anisotropic growth ⋮ Brake orbits for Hamiltonian systems of the classical type via geodesics in singular Finsler metrics ⋮ Brake subharmonic solutions of subquadratic Hamiltonian systems ⋮ Pseudoholomorphic strips in symplectisations. I: Asymptotic behavior ⋮ On the covering of a Hill's region by solutions in systems with gyroscopic forces ⋮ Seifert Conjecture in the Even Convex Case ⋮ Some progress on minimal period problems in reversible semi-positive Hamiltonian systems ⋮ The brake orbits of Hamiltonian systems on positive-type hypersurfaces ⋮ Equivariant wrapped Floer homology and symmetric periodic Reeb orbits ⋮ Remarks on the covering of the possible motion area by solutions in rigid body systems ⋮ Multiple subharmonic solutions in Hamiltonian system with symmetries ⋮ Brake subharmonic solutions of first order Hamiltonian systems ⋮ Unnamed Item ⋮ Iteration theory of \(L\)-index and multiplicity of brake orbits ⋮ Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems ⋮ Minimal periodic problem for brake orbits of first-order Hamiltonian systems ⋮ Multiple brake orbits in bounded convex symmetric domains ⋮ Multiple brake orbits on convex hypersurfaces under asymmetric pinch conditions ⋮ Index iteration theory for symplectic paths and multiple periodic solution orbits ⋮ Brake orbits of first order convex Hamiltonian systems with particular anisotropic growth ⋮ 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
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