ABSTRACT

Nonlinear systems are inherently high-dimensional. The meaning and implications of this will become clear in this chapter. For now, we note that the dimension of a system can be thought of as the number of independent mathematical variables that are needed to fully describe its behavior. For a continuous-time system, at least three such variables are needed for anything

CONTENTS

Introduction to Phase Space ................................................................................ 73 De‡nition, Example ......................................................................................... 74 Attractors and Dimension ...............................................................................75