Research of the periodic motion and stability of two-degree-of-freedom nonlinear oscillating systems

DOI10.1007/BF02437672zbMath1036.70012OpenAlexW2119927036MaRDI QIDQ1397657

Jun Liu

Publication date: 7 August 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02437672

zbMATH Keywords

existenceuniquenessasymptotic stabilitymethod of Lyapunov function

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42)

Related Items (1)

The existence, stability and approximate expressions of periodic solutions of strongly nonlinear nonautonomous systems with multi-degrees-of-freedom

Cites Work

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• A numerical treatment of the periodic solutions of nonlinear vibration systems
• On the uniform ultimate boundedness of the solutions of certain third order differential equations
• Solutions to equations of vibrations of spherical and cylindrical shells

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