Periodic solutions of the forced pendulum: Exchange of stability and bifurcations

DOI10.1006/jdeq.2001.4091zbMath1015.34033OpenAlexW2055528861MaRDI QIDQ1614735

Guy Katriel

Publication date: 8 September 2002

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

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4091

zbMATH Keywords

stabilityperiodic solutionsbifurcationsforced pendulum

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20)

Related Items (3)

Existence and stability of periodic solutions for a forced pendulum with time-dependent damping ⋮ Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities ⋮ A global solution curve for a class of free boundary value problems arising in plasma physics

Cites Work

• Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
• On the use of asymptotics in nonlinear boundary value problems
• Global behavior in the dynamical equation
• The forced pendulum: A paradigm for nonlinear analysis and dynamical systems
• On the number of solutions for the forced pendulum equation
• Uniqueness of periodic solutions for asymptotically linear Duffing equations with strong forcing
• On the stability of periodic solutions of the damped pendulum equation
• On periodic solutions of forced pendulum-like equations
• Nonexistence of periodic solutions for a damped pendulum equation
• Some global results for nonlinear eigenvalue problems
• Many periodic solutions for pendulum-type equations
• Non–continuation of the periodic oscillations of a forced pendulum in the presence of friction
• Nonlinear sturm‐lionville problems for second order ordinary differential equations
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