Existence of multiple periodic orbits of Hamiltonian systems on positive-type hypersurfaces in \({\mathbb{R}}^{2n}\)
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Publication:1874558
DOI10.1016/S0022-247X(02)00705-9zbMath1014.37010MaRDI QIDQ1874558
Publication date: 25 May 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
multiplicitycritical pointperiodic orbitHamiltonian systemexistence theoremHamiltonian vector fieldspositive-type hypersurfacefixed energy problem
Continua theory in dynamics (37B45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items (9)
On the number of periodic orbits of Hamiltonian systems on positive-type hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ Existence of multiple periodic solutions for a natural Hamiltonian system in a potential well ⋮ Periodic solutions of superlinear autonomous Hamiltonian systems with prescribed period ⋮ The brake orbits of Hamiltonian systems on positive-type hypersurfaces ⋮ On the existence of periodic and homoclinic orbits for first order superquadratic Hamiltonian systems ⋮ Non-existence of positive solutions of some elliptic equations in positive-type domains ⋮ Multiple periodic solutions of Hamiltonian systems with prescribed energy ⋮ Non-existence of positive solutions for a class of fourth order elliptic systems in positive-type domains ⋮ On the minimal periodic solutions of nonconvex superlinear Hamiltonian systems
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