Subharmonics near an equilibrium for some second-order Hamiltonian systems

DOI10.1017/S0308210500029516zbMath0802.34043MaRDI QIDQ4277234

Elves Alves de Barros e Silva, Patricio L. Felmer

Publication date: 18 December 1994

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodic solutionssubharmonic solutionssecond order Hamiltonian systemminimax techniques

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (7)

Periodic and subharmonic solutions of a class of subquadratic second-order Hamiltonian systems ⋮ Subharmonic solutions of second order subquadratic Hamiltonian systems with potential changing sign ⋮ Subharmonic solutions for nonautonomous sublinear second order Hamiltonian systems ⋮ Periodic solutions for second order Hamiltonian systems with a change sign potential ⋮ Periodic solutions of second order Hamiltonian systems ⋮ Periodic solutions of second order superquadratic Hamiltonian systems with potential changing sign. I ⋮ Periodic solutions of second order superquadratic Hamiltonian systems with potential changing sign. II

Cites Work

• Unnamed Item
• Periodic solutions of a class of dynamical systems of second order
• Periodic solutions of a second order superquadratic system with a change of sign in the potential
• Subharmonics near an equilibrium point for Hamiltonian systems
• A ``Birkhoff-Lewis type result for a class of Hamiltonian systems
• On the periodic motions near a given periodic motion of a dynamical system
• Periodic solutions of arbitrarily long periods in Hamiltonian systems
• On subharmonic solutions of hamiltonian systems

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