Non–continuation of the periodic oscillations of a forced pendulum in the presence of friction

DOI10.1090/S0002-9939-00-05389-2zbMath0970.34037MaRDI QIDQ4490227

Rafael Ortega, Enrico Serra, Massimo Tarallo

Publication date: 10 July 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsfrictionforced pendulum

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Problems involving a system of particles with friction (70F40)

Related Items (13)

Solvability of some pendulum-type equations with linear damping and homogeneous Dirichlet conditions ⋮ Prevalence of stable periodic solutions for Duffing equations ⋮ Periodic solutions of the forced pendulum: Exchange of stability and bifurcations ⋮ Existence and stability of periodic solutions for a forced pendulum with time-dependent damping ⋮ Multiplicity of periodic solutions for third-order nonlinear differential equations ⋮ On the existence of periodic oscillations for pendulum-type equations ⋮ A non-existence result for periodic solutions of the relativistic pendulum with friction ⋮ Periodic oscillations of the relativistic pendulum with friction ⋮ NONDEGENERACY OF THE PERIODICALLY FORCED LIÉNARD DIFFERENTIAL EQUATION WITH ϕ-LAPLACIAN ⋮ Some results on the forced pendulum equation ⋮ A system of coupled pendulii ⋮ Subharmonic oscillations of a forced pendulum with time-dependent damping ⋮ Existence of periodic solutions for the forced pendulum equations of variable length

Cites Work

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• On the use of asymptotics in nonlinear boundary value problems
• The forced pendulum: A paradigm for nonlinear analysis and dynamical systems
• Brouwer's plane translation theorem and generalizations of the Poincaré-Birkhoff theorem
• A forced pendulum equation with many periodic solutions
• Subharmonic solutions to second-order differential equations with periodic nonlinearities
• Nonexistence of periodic solutions for a damped pendulum equation
• Reduction Theorems for a Class of Semilinear Equations at Resonance

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