• Sample analysis of nonlinear system, by finding equilibrium points and linearization of
differential equation at each equilibrium point, using Taylor series.
• Finding stable and unstable nodes around each equilibrium points.
nonlinear vibration
• Determination of the potential function for unexcited system.
• Finding stable and unstable points.
• bifurcation diagram.
• Numerical solution of equation of the motion by MATLAB software to find, time period of
the system.

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nonlinear vibration

  • 1. • Sample analysis of nonlinear system, by finding equilibrium points and linearization of differential equation at each equilibrium point, using Taylor series. • Finding stable and unstable nodes around each equilibrium points.
  • 3. • Determination of the potential function for unexcited system. • Finding stable and unstable points. • bifurcation diagram. • Numerical solution of equation of the motion by MATLAB software to find, time period of the system.