Optimal Intervals of Stability of a Forced Oscillator

DOI10.2307/2160938zbMath0870.34044OpenAlexW4238948189MaRDI QIDQ4845926

Jose Miguel-Alonso

Publication date: 21 August 1995

Full work available at URL: https://doi.org/10.2307/2160938

zbMATH Keywords

nonlinear oscillatorasymptotically stablelinear friction\(T\)-periodic external forceunique \(T\)-periodic solution

Mathematics Subject Classification ID

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

Related Items

Rate of decay of stable periodic solutions of Duffing equations ⋮ Exact multiplicity and stability of periodic solutions for a Duffing equation ⋮ Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities ⋮ Chaotic dynamics in periodically forced asymmetric ordinary differential equations

Cites Work

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• Stability theory and the existence of periodic solutions and almost periodic solutions
• On the Existence of Stable Periodic Solutions of Differential Equations of Duffing Type
• The First Interval of Stability of a Periodic Equation of Duffing Type
• Boundedness and global asymptotic stability of a forced oscillator
• Existence, Uniqueness, and Stability of Oscillations in Differential Equations with Asymmetric Nonlinearities

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