Chapter 12.5, Problem 3E

Interpretation Introduction

Interpretation:

Consider the system (Ueda attractor) with equation ${\ddot{\text{x}}\text{ + k}\dot{\text{x}}\text{ + x}}^{\text{3}}\text{= Bcos(t)}$, with $\text{k = 0}\text{.1}$, $\text{B }=\text{12}$. Show numerically that system has a strange attractor, and plot its Poincaré section.

Concept Introduction:

• Use(Ueda attractor) with system equation.

• Plot its Poincaré section using Mathematica.