On the stability of periodic solutions of the damped pendulum equation

DOI10.1006/jmaa.1997.5380zbMath0883.34046OpenAlexW1968938382MaRDI QIDQ1359644

Jolana Jenšiková, Pavel Drábek, Jan Čepička

Publication date: 16 March 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5380

zbMATH Keywords

stability of periodic solutionsdamped pendulum

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20)

Related Items

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, The rate of decay of stable periodic solutions for Duffing equation with \(L^p\)-conditions, Global solution curves for several classes of singular periodic problems, Exact multiplicity and stability of periodic solutions for a Duffing equation, Global solution curves for boundary value problems, with linear part at resonance, A global solution curve for a class of periodic problems, including the relativistic pendulum, Exact multiplicity and stability of periodic solutions for Duffing equation with bifurcation method, A global solution curve for a class of free boundary value problems arising in plasma physics, DEGENERATE EQUATIONS OF PENDULUM-TYPE

Cites Work

• Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
• Critical point theory and Hamiltonian systems
• On the number of solutions for the forced pendulum equation
• On periodic solutions of forced pendulum-like equations
• Topological Degree and Stability of Periodic Solutions for Certain Differential Equations
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