On the existence of forced oscillations for the spherical pendulum acted on by a retarded periodic force

DOI10.1007/s10884-010-9201-2zbMath1241.34076OpenAlexW2010000669MaRDI QIDQ650172

Maria Patrizia Pera, Massimo Furi, Pierluigi Benevieri, Alessandro Calamai

Publication date: 25 November 2011

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

Full work available at URL: https://doi.org/10.1007/s10884-010-9201-2

zbMATH Keywords

periodic solutionswinding numberperiodically forced retarded functional differential equations on \(S^n\)

Mathematics Subject Classification ID

Degree, winding number (55M25) Periodic solutions to functional-differential equations (34K13) Ordinary differential equations and systems on manifolds (34C40)

Related Items (2)

Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force ⋮ Global continuation of forced oscillations of retarded motion equations on manifolds

Cites Work

• Periodic solutions of some nonlinear autonomous functional differential equations
• Coincidence degree, and nonlinear differential equations
• Introduction to functional differential equations
• Periodic solutions for functional differential equations with multiple state-dependent time lags
• Functional differential equations on compact manifolds and an approximation theorem
• A Continuation Result for Forced Oscillations of Constrained Motion Problems with Infinite Delay
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