On periodic orbits of nonlinear dynamical systems with many degrees of freedom

DOI10.1016/0378-4371(92)90095-8zbMath0776.34033OpenAlexW2083791232MaRDI QIDQ686802

Gamal M. Mahmoud

Publication date: 13 October 1993

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(92)90095-8

zbMATH Keywords

periodic orbitsgeneralized averagingindicatrix methodnonlinear dynamical systems with many degrees of freedom

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29)

Related Items (6)

On the generalized averaging method of a class of strongly nonlinear forced oscillators ⋮ Approximate stationary solution and stochastic stability for a class of differential equations with parametric colored noise ⋮ Suppressing chaos of a complex Duffing's system using a random phase ⋮ Stability of a Class of Coupled Hill's Equations and the Lorentz Oscillator Model ⋮ THE DYNAMICS OF SYSTEMS OF COMPLEX NONLINEAR OSCILLATORS: A REVIEW ⋮ Stability analysis for systems of nonlinear Hill's equations

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On damped nonlinear dynamic systems with many degrees of freedom
• Regular and stochastic motion
• Internal resonance of non-linear autonomous vibrating systems with two degrees of freedom
• Perturbation Techniques for Oscillatory Systems with Slowly Varying Coefficients
• Synchronized Periodic Solutions of a Class of Periodically Driven Nonlinear Oscillators
• A High Order Generalized Method of Averaging

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