Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for some novel, time- or energy-critical interdisciplinary application. Examples include high-performance circuits and devices, liquid mixing, chemical reactions, biological systems, crisis management, secure information processing, and critical decision-making in politics, economics, as well as military applications, etc. This book presents the latest investigations in the theory of chaotic systems and its real applications in diverse disciplines such as economy, social sciences and mechanics. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. This book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems. Readership: Undergraduates and graduate students in natural and human sciences and engineering, and other areas of potential applications, mathematicians and researchers in nonlinear dynamical systems.