ABSTRACT

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 novel, time- or energy-critical interdisciplinary applications. 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 their dynamics. The book covers some 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.

chapter Chapter 1|45 pages

Review of Chaotic Dynamics

chapter Chapter 2|32 pages

Human Immunodeficiency Virus and Urbanization Dynamics

chapter Chapter 3|18 pages

Chaotic Behaviors in Piecewise Linear Mappings

chapter Chapter 4|21 pages

Robust Chaos in Neural Networks Models

chapter Chapter 5|25 pages

Estimating Lyapunov Exponents of 2-D Discrete Mappings

chapter Chapter 7|45 pages

Boundedness of Some Forms of Quadratic Systems