Periodic solutions of second order Hamiltonian systems

DOI10.1080/14689367.2013.781133zbMath1288.37013OpenAlexW2320582666MaRDI QIDQ2844018

Amar Makhlouf, Jaume Llibre

Publication date: 27 August 2013

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150624

zbMATH Keywords

periodic solutionaveraging theorysecond order Hamiltonian system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (1)

A unified approach to periodic solutions for a class of non-autonomous second order Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of multiple positive periodic solutions to a periodic predator-prey system with harvesting terms and Holling III type functional response
• Periodic solutions of high-order Cohen-Grossberg neural networks with distributed delays
• Periodic solutions of a second order superquadratic system with a change of sign in the potential
• Existence and multiplicity results for homogeneous second order differential equations
• Existence and multiplicity results for periodic solutions of superquadratic Hamiltonian systems where the potential changes sign
• Subharmonic solutions of second order subquadratic Hamiltonian systems with potential changing sign
• Periodic solutions of nonlinear periodic differential systems with a small parameter
• 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
• Solutions périodiques d'un système différentiel non linéaire du second ordre avec changement de signe. (Periodic solutions of a nonlinear second order differential system with change of sign)
• Existence of forced oscillations for some nonlinear differential equations
• Subharmonics near an equilibrium for some second-order Hamiltonian systems
• Averaging methods in nonlinear dynamical systems

This page was built for publication: Periodic solutions of second order Hamiltonian systems