The aim of this chapter is to provide an introduction to the theory of nonlinear systems. We assume that the reader has a background in classical dynamics and a basic knowledge of differential equations, but most readers of this book will only have a vague notion of chaotic dynamics. The computer experiments in the following chapters will (hopefully) lead to a better understanding of this new and exciting field. These chapters form the core of the book and are written at a level suitable for advanced undergraduate students. An understanding and interpretation of the numerical results is, however, impossible without a knowledge of the relevant theory.
KeywordsPhase Space Lyapunov Exponent Hopf Bifurcation Chaotic Dynamic Invariant Torus
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