This document analyzes a nonlinear system by finding equilibrium points through linearization of differential equations, determining stable and unstable nodes around each point, and finding a potential function for the unexcited system. It also produces a bifurcation diagram and uses MATLAB software to numerically solve the equation of motion to find the time period of the system.

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.