Smith-type criterion for the asymptotic stability of a pendulum with time-dependent damping

DOI10.1090/S0002-9939-2013-11615-1zbMath1273.34061MaRDI QIDQ2839312

Jitsuro Sugie

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilityphase plane analysisgrowth conditionnonlinear oscillatordamped pendulum

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items

Existence and stability of periodic solutions for a forced pendulum with time-dependent damping ⋮ Parameter diagram for global asymptotic stability of damped half-linear oscillators ⋮ Global dynamics of Froude-type oscillators with superlinear damping terms ⋮ On the damped harmonic oscillator with time dependent damping coefficient ⋮ Asymptotic stability of a pendulum with quadratic damping ⋮ Sufficient conditions for convergence of solutions of damped elliptic equations ⋮ On the asymptotic stability for nonlinear oscillators with time-dependent damping ⋮ Subharmonic oscillations of a forced pendulum with time-dependent damping

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