Chapter 12.3, Problem 3E

Interpretation Introduction

Interpretation:

To find what makes the Rössler system less tractable, even if it has only one nonlinear term, while the Lorenz system, which has two nonlinear terms, is easier to analyze.

Concept Introduction:

• The Rössler system is given as:-

  $\begin{array}{l}\dot{\text{x}}\text{ = - y - z}\\ \dot{\text{y}}\text{ = x + ay}\\ \dot{\text{z}}\text{ = b + z (x - c)}\end{array}$

• The Lorenz system is given as:-

  $\begin{array}{l}\dot{\text{x}}\text{ = σ (y - x)}\\ \dot{\text{y}}\text{ = rx - xz - y}\\ \dot{\text{z}}\text{ = xy - bz}\end{array}$