Subharmonic solutions with prescribed minimal period of a class of nonautonomous Hamiltonian systems

DOI10.1007/s10884-008-9118-1zbMath1361.34041OpenAlexW2004030807MaRDI QIDQ957738

Jian She Yu

Publication date: 1 December 2008

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

Full work available at URL: https://doi.org/10.1007/s10884-008-9118-1

zbMATH Keywords

periodic solutionsHamiltonian systemscritical pointminimal period

Mathematics Subject Classification ID

Related Items (11)

Subharmonic solutions with prescribed minimal period for some second-order impulsive differential equations ⋮ Periodic solutions for second-order even and noneven Hamiltonian systems ⋮ Subharmonic solutions of nonautonomous second order differential equations with singular nonlinearities ⋮ Subharmonic solutions with prescribed minimal periodic for a class of second-order impulsive functional differential equations ⋮ Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems ⋮ Solutions with minimal period for non-autonomous second-order Hamiltonian systems ⋮ Multiple periodic solutions for a class of non-autonomous Hamiltonian systems with even-typed potentials ⋮ Multiplicity of solutions for second-order Hamiltonian systems with impulses ⋮ The minimal period problem for the classical forced pendulum equation ⋮ Periodic solutions with prescribed minimal period to Hamiltonian systems ⋮ The Rabinowitz minimal periodic solution conjecture

Cites Work

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• Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
• Subharmonic oscillations of forced pendulum-type equations
• Nonlinear oscillations and boundary value problems for Hamiltonian systems
• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems
• Subharmonic solutions and Morse theory
• Subharmonic solutions with prescribed minimal period for nonautonomous Hamiltonian systems
• On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface
• Critical point theory and Hamiltonian systems
• Subharmonic solutions for second order differential equations
• Notes on periodic solutions of subquadratic second order systems.
• Subharmonic solutions to second-order differential equations with periodic nonlinearities
• 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 for some nonautonomous second-order systems
• Subharmonic solutions for second order differential systems
• Periodic non-autonomous second-order dynamical systems
• Subharmonic oscillations of convex Hamiltonian systems
• Subharmonics for convex nonautonomous hamiltonian systems
• On subharmonic solutions of hamiltonian systems
• A multiplicity result for periodic solutions of autonomous conservative systems
• Subharmonic Solutions of Conservative Systems with Nonconvex Potentials
• Remarks on subharmonics with minimal periods on Hamiltonian systems
• Hamiltonian trajectories having prescribed minimal period
• Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials
• Subharmonic oscillations with prescribed minimal period for a class of hamiltonian systems

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