This book is the second of two volumes that together give a comprehensive introduction to the theory of cooperative behavior in active systems. This volume is devoted to the properties of the complex chaotic patterns that can arise in distributed active systems. Topics covered are strange attractors, fractals, discrete maps and spatio-temporal chaos and how these phenomena relate to the emergence of complex and chaotic patterns. Examples include population explosion and extinction in fluctuating distributed media and fluctuation effects in binary annihilation. This textbook on mathematical physics, theoretical physics, biological physics, chemical physics and mathematical ecology is intended for undergraduate and graduate students, researchers.--This text refers to an out of print or unavailable edition of this title.