On Mathieu equation with damping

DOI10.1063/1.524492zbMath0447.34039OpenAlexW2095344508MaRDI QIDQ3892579

Din-Yu Hsieh

Publication date: 1980

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524492

zbMATH Keywords

direct variational methodstability analysesnonlinear Mathieu equation with damping

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (5)

An innovative efficient approach to solving damped Mathieu-Duffing equation with the non-perturbative technique ⋮ Asymptotic solutions of Mathieu equation with damping ⋮ Fractional oscillators from non-standard Lagrangians and time-dependent fractional exponent ⋮ Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator ⋮ Road to chaos for a soft spring system under weak periodic disturbance

Cites Work

• Variational methods and nonlinear forced oscillations
• Variational method and Mathieu equation
• The stability of the plane free surface of a liquid in vertical periodic motion

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