Many periodic solutions for pendulum-type equations

DOI10.1016/S0362-546X(97)00609-3zbMath0952.34033WikidataQ126472695 ScholiaQ126472695MaRDI QIDQ4264313

Guy Katriel

Publication date: 28 December 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

periodic solutionspendulum-type equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (4)

Periodic solutions of the forced pendulum: Exchange of stability and bifurcations ⋮ Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force ⋮ Using closed orbits to bifurcate many periodic solutions for pendulum-type equations ⋮ Periodic solutions of a class of second order functional differential equations

Cites Work

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• Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
• The forced pendulum: A paradigm for nonlinear analysis and dynamical systems
• Generic results for the existence of nondegenerate periodic solutions of some differential systems with periodic nonlinearities
• Critical point theory and Hamiltonian systems
• Chaos in the Duffing equation
• On the number of solutions for the forced pendulum equation
• Some remarks about periodic solutions to the forced pendulum equation
• On periodic solutions of forced pendulum-like equations
• Further remarks on a problem of Moser and a conjecture of Mawhin

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