ABSTRACT

This book presents elements of the theory of chaos in dynamical systems in a framework of theoretical understanding coupled with numerical and graphical experimentation. It describes the theory of fractals, focusing on the importance of scaling and ordinary differential equations.

chapter 1|12 pages

Introduction

chapter 2|48 pages

Orbits of One-Dimensional Systems

chapter 3|39 pages

Bufurcation in One-dimensional Systems

chapter 4|42 pages

Two-Dimensional Systems

chapter 5|26 pages

Fractals

chapter 6|20 pages

Non-Linear Oscillations