Handbook of Applications of Chaos Theory

Christos H. Skiadas, Charilaos Skiadas

June 1, 2016 by Chapman and Hall/CRC
Reference - 934 Pages - 612 B/W Illustrations
ISBN 9781466590434 - CAT# K20464

USD$199.95

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Features

  • Describes integral equations and solutions to evolution equations, the chaos analysis of dynamics in microscopy imaging, the supersymmetric theory of stochastic dynamics, and the demystification of self-organized criticality
  • Examines chaos in plasma systems, vibrating plates, and oceanic flows
  • Discusses applications of chaos theory in biology, medicine, mechanical sciences, pattern recognition and encryption systems, socioeconomic and human sciences, and music

Summary

In 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. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs.

The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.