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Handbook of Applications of Chaos Theory
DOI link for Handbook of Applications of Chaos Theory
Handbook of Applications of Chaos Theory book
Handbook of Applications of Chaos Theory
DOI link for Handbook of Applications of Chaos Theory
Handbook of Applications of Chaos Theory book
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ABSTRACT
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.
TABLE OF CONTENTS
section 1|1 pages
Chaos and Nonlinear Dynamics
chapter 3|23 pages
On the Transition to Phase Synchronized Chaos
chapter 4|19 pages
The Kolmogorov-Taylor Law of Turbulence: What Can Rigorously Be Proved?
chapter 5|9 pages
Nonlinear Dynamics of Two-Dimensional Chaotic Maps and Fractal Sets for Snow Crystals
section 2|1 pages
Strange Attractors, Bifuracation, and Related Theory
chapter 7|30 pages
Strange Attractors and Classical Stability Theory: Stability, Instability, Lyapunov Exponents and Chaos
chapter 8|9 pages
Numerical Visualization of Attractors: Self-Exciting and Hidden Attractors
chapter 9|10 pages
Bifurcation Analysis of a Simple 3D BVP Oscillator and Chaos Synchronization of Its Coupled Systems
section 3|1 pages
Chaotic Data Analysis, Equations, and Applications
chapter 13|10 pages
Empirical Wavelet Coefficients and Denoising of Chaotic Data in the Phase Space
chapter 15|22 pages
Geometry of Local Instability in Hamiltonian Dynamics
chapter 16|18 pages
Chaos Analysis of ER-Network Dynamics in Microscopy Imaging
chapter 17|35 pages
Supersymmetric Theory of Stochastics:Demystification of Self-Organized Criticality
section 4|1 pages
Chaos in Plasma
section 5|1 pages
Chaos in flows and Turbulence
chapter 21|24 pages
Wave Turbulence in Vibrating Plates
chapter 22|44 pages
Nonlinear Dynamics of the Oceanic Flow
chapter 24|19 pages
Lagrangian Coherent Structures at the Onset of Hyperchaos in Two-Dimensional Flows
section 6|1 pages
Chaos and Quantum Theory
chapter 25|26 pages
Chaotic Interference versus Decoherence: External Noise, State Mixing, and Quantum–Classical Correspondence
chapter 26|26 pages
Application of Microwave Networks to Simulation of Quantum Graphs
section 7|1 pages
Optics and Chaos
chapter 27|40 pages
Optics and Chaos: Chaotic, Rogue, and Noisy Optical Dissipative Solitons
chapter 28|9 pages
Hyperbolic Prism, Poincaré Disk, and Foams
section 8|1 pages
Chaos Theory in Biology and Medicine
chapter 30|9 pages
Applications of Extreme Value Theory in Dynamical Systems for the Analysis of Blood Pressure Data
chapter 32|10 pages
Applications of Chaos Theory Methods in Clinical Digital Pathology
section 9|1 pages
Chaos in Mechanical Sciences
chapter 33|16 pages
System Augmentation for Detection and Sensing: Theory and Applications
chapter 34|9 pages
Unveiling Complexity of Church Bells Dynamics Using Experimentally Validated Hybrid Dynamical Model
chapter 35|24 pages
Multiple Duffing Problems Based on Hilltop Bifurcation Theory on MFM Models
section 10|1 pages
Chaotic Pattern Recognition
chapter 36|58 pages
The Science and Art of Chaotic Pattern Recognition
section 11|1 pages
Chaos in Socioeconomic and Human Sciences
chapter 37|22 pages
Why Economics Has Not Accomplished What Physics Has?
chapter 38|51 pages
Human Fuzzy Rationality as a Novel Mechanism of Emergent Phenomena
section 12|1 pages
Chaos In Music