Description
Book SynopsisIn addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications.
Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. I
Table of Contents
Chaos and Nonlinear Dynamics. Strange Attractors, Bifurcation, and Related Theory. Chaotic Data Analysis, Equations, and Applications. Chaos in Plasma. Chaos in Flows and Turbulence. Chaos and Quantum Theory. Optics and Chaos. Chaos Theory in Biology and Medicine. Chaos in Mechanical Sciences. Chaotic Pattern Recognition. Chaos in Socioeconomic and Human Sciences. Chaos in Music. Index.