publication . Other literature type . Article . 2018

Periodic Solution and Stability Behavior for Nonlinear Oscillator Having a Cubic Nonlinearity Time-Delayed

El-Dib, Yusry Osman;
  • Published: 23 May 2018
  • Publisher: AIJR Publisher
Abstract
<jats:p>The current paper investigates the dynamics of the dissipative system with a cubic nonlinear time-delayed of the type of the damping Duffing equation. A coupling between the method of the multiple scales and the homotopy perturbation has been utilized to study the complicated dynamic problem. Through this approach, a cubic nonlinear amplitude equation resulted in at the first-order of perturbation; meanwhile, a quintic equation appears at the second-order of perturbation. These equations are combined into one nonlinear quintic Landau equation. The polar form solution is used, and linearized stability configuration is applied to the nonlinear amplitude eq...
Subjects
free text keywords: Quintic function, Nonlinear system, Duffing equation, Physics, Polar coordinate system, Amplitude, Dissipative system, Perturbation (astronomy), Mathematical analysis, Periodic graph (geometry)
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publication . Other literature type . Article . 2018

Periodic Solution and Stability Behavior for Nonlinear Oscillator Having a Cubic Nonlinearity Time-Delayed

El-Dib, Yusry Osman;