ABSTRACT

This book provides an introduction to the theory of chaotic systems and demonstrates how chaos and coherence are interwoven in some of the models exhibiting deterministic chaos. It is based on the lecture notes for a short course in dynamical systems theory given at the University of Oslo.

chapter 1|2 pages

Introduction

chapter 2|6 pages

Fractals

chapter 3|29 pages

The Logistic Map

chapter 4|11 pages

The Circle Map

chapter 5|9 pages

Higher Dimensional Maps

chapter 6|22 pages

Dissipative Maps in Higher Dimensions

chapter 7|7 pages

Conservative Maps

chapter 8|5 pages

Cellular Automata

chapter 9|9 pages

Ordinary Differential Equations

chapter 10|6 pages

The Lorenz Model

chapter 11|12 pages

Time Series Analysis