A forced pendulum equation with many periodic solutions

DOI10.1216/RMJM/1181071898zbMath0899.34031OpenAlexW2019862730MaRDI QIDQ1384880

Rafael Ortega

Publication date: 15 November 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-3/CONT27-3/CONT27-3.html

zbMATH Keywords

periodic solutionsbifurcationforced pendulum equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (7)

Global solution curves for several classes of singular periodic problems ⋮ Quantifying Poincaré's continuation method for nonlinear oscillators ⋮ A global solution curve for a class of periodic problems, including the relativistic pendulum ⋮ Using closed orbits to bifurcate many periodic solutions for pendulum-type equations ⋮ Counting periodic solutions of the forced pendulum equation ⋮ Non–continuation of the periodic oscillations of a forced pendulum in the presence of friction ⋮ DEGENERATE EQUATIONS OF PENDULUM-TYPE

Cites Work

• The forced pendulum: A paradigm for nonlinear analysis and dynamical systems
• Periodic solutions of 𝑥”+𝑐𝑥’+𝑔(𝑥)=𝜖𝑓(𝑡)
• Reduction Theorems for a Class of Semilinear Equations at Resonance
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