
Handbook of Applications of Chaos Theory
- 934 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Handbook of Applications of Chaos Theory
About this book
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.
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Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Table of Contents
- Preface
- Editors
- Contributors
- SECTION I Chaos and Nonlinear Dynamics
- SECTION II Strange Attractors, Bifuracation, and Related Theory
- SECTION III Chaotic Data Analysis, Equations, and Applications
- SECTION IV Chaos in Plasma
- SECTION V Chaos in Flows and Turbulence
- SECTION VI Chaos and Quantum Theory
- SECTION VII Optics and Chaos
- SECTION VIII Chaos Theory in Biology and Medicine
- SECTION IX Chaos in Mechanical Sciences
- SECTION X Chaotic Pattern Recognition
- SECTION XI Chaos in Socioeconomic and Human Sciences
- SECTION XII Chaos In Music
- Index