On a problem of a field method and its applications to the nonlinear vibrations

DOI10.1016/S0096-3003(02)00666-5zbMath1032.37006OpenAlexW1976627321MaRDI QIDQ1412602

G. M. Abd El-Latif

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00666-5

zbMATH Keywords

perturbationdynamical systemnonlinear oscillation

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamics induced by flows and semiflows (37C10)

Related Items (2)

A further study on nonlinear vibration of initially stressed plates ⋮ A homotopy technique and a perturbation technique for non-linear problems

Cites Work

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• Effects of imperfection on the non-linear oscillations of circular plates spinning near critical speed
• Modulated motion and infinite-period bifurcation for two non-linearly coupled and parametrically excited van der Pol oscillators
• Dynamics of a weakly non-linear periodic chain
• Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. I: Expansion of a constant
• Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. II: A new transformation
• On a gradient method in nonconservative mechanics
• On the integration of the nonconservative Hamilton's dynamical equations

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