Periodic solutions for Hamiltonian systems under strong constraining forces

DOI10.1016/S0022-0396(02)00035-9zbMath1014.37038OpenAlexW2043244501MaRDI QIDQ1867237

Chongchun Zeng, Jalal Shatah

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00035-9

zbMATH Keywords

periodic solutionsHamiltonian systemsconstrains

Mathematics Subject Classification ID

Related Items (9)

Multidimensional boundary layers for a singularly perturbed Neumann problem ⋮ Local dynamics at focal points coupled with elliptic directions ⋮ Small amplitude periodic solutions of Klein-Gordon equations ⋮ Radial and bifurcating non-radial solutions for a singular perturbation problem in the case of exchange of stabilities ⋮ Normally elliptic singular perturbations and persistence of homoclinic orbits ⋮ Periodic Solutions of Symmetric Elliptic Singular Systems ⋮ Periodic orbits near a bifurcating slow manifold ⋮ Periodic Solutions of Symmetric Elliptic Singular Systems: the Higher Codimension Case ⋮ On periodic orbits in a slow-fast system with normally elliptic slow manifold

Cites Work

• Homogenization of Hamiltonian systems with a strong constraining potential
• Geometric singular perturbation theory for ordinary differential equations
• Homogenization in time of singularly perturbed mechanical systems
• Motion under a strong constraining force
• Riemannian geometry
• Realizing holonomic constraints in classical and quantum mechanics
• Dynamics of relative phases: generalised multibreathers
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