Opis: Handbook of Applications of Chaos Theory - Charilaos Skiadas, Christos Skiadas

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 Poincare 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.Chaos and Nonlinear Dynamics The Intermittency Route to Chaos Ezequiel del Rio and Sergio Elaskar Deterministic Chaos and Evolutionary Dynamics: Mutual Relations Ivan Zelinka On the Transition to Phase Synchronized Chaos Erik Mosekilde, Jakob L. Laugesen, and Zhanybai T. Zhusubaliyev The Kolmogorov-Taylor Law of Turbulence: What Can Rigorously Be Proved? Roger Lewandowski Nonlinear Dynamics of Two-Dimensional Chaos Maps and Fractal Sets for Snow Crystals Nguyen H. Tuan Anh, Dang Van Liet, and Shunji Kawamoto Fractional Chen Oscillators C.M.A. Pinto and A.R.M. Carvalho Strange Attractors, Bifurcation, and Related Theory Strange Attractors and Classical Stability Theory: Stability, Instability, Lyapunov Exponents, and Chaos Nikolay Kuznetsov and Gennady Leonov Numerical Visualization of Attractors: Self-Exciting and Hidden Attractors Nikolay Kuznetsov and Gennady Leonov Bifurcation Analysis of a Simple 3D BVP Oscillator and Chaos Synchronization of Its Coupled Systems Yusuke Nishiuchi and Tetsushi Ueta Capture of a Particle into Resonance Oleg Mikhailovich Kiselev Chaotic Data Analysis, Equations, and Applications Integral Equations and Applications A.G. Ramm Large-Time Behavior of Solutions to Evolution Equations A.G. Ramm Empirical Wavelet Coefficients and Denoising of Chaotic Data in the Phase Space Matthieu Garcin Characterization of Time Series Data Christopher W. Kulp and Brandon J. Niskala Geometry of Local Instability in Hamiltonian Dynamics M. Lewkowicz, J. Levitan, Y. Ben Zion, and L. Horwitz Chaos Analysis of ER-Network Dynamics in Microscopy Imaging Tuan D. Pham and Ikuo Wada Supersymmetric Theory of Stochastics: Demystification of Self-Organized Criticality Igor V. Ovchinnikov New Robust Stability of Discrete-Time Hybrid Systems Grienggrai Rajchakit Chaos in Plasma Chaos in Plasma Physics Dan-Gheorghe Dimitriu and Maricel Agop Plasma Harmonic and Overtone Coupling Victor J. Law Chaos in Flows and Turbulence Wave Turbulence in Vibrating Plates O. Cadot, M. Ducceschi, T. Humbert, B. Miquel, N.Mordant, C. Josserand, and C. Touze Nonlinear Dynamics of the Oceanic Flow S.V. Prants, M.V. Budyansky, and M.Yu. Uleysky The Suspensions of Maps to Flows John Starrett Lagrangian Coherent Structures at the Onset of Hyperchaos in Two-Dimensional Flows Rodrigo A. Miranda, Erico L. Rempel, Abraham C.-L. Chian, and Adriane B. Schelin Chaos and Quantum Theory Chaotic Interference versus Decoherence: External Noise, State Mixing, and Quantum-Classical Correspondence Valentin V. Sokolov and Oleg V. Zhirov Application of Microwave Networks to Simulation of Quantum Graphs Michal Lawniczak, Szymon Bauch, and Leszek Sirko Optics and Chaos Optics and Chaos: Chaotic, Rogue, and Noisy Optical Dissipative Solitons Vladimir L. Kalashnikov Hyperbolic Prism, Poincare Disk, and Foams Alberto Tufaile and Adriana Pedrosa Biscaia Tufaile Parhelic-Like Circle and Chaotic Light Scattering Adriana Pedrosa Biscaia Tufaile and Alberto Tufaile Chaos Theory in Biology and Medicine Applications of Extreme Value Theory in Dynamical Systems for the Analysis of Blood Pressure Data Davide Faranda Comb Models for Transport along Spiny Dendrites V. Mendez and A. Iomin Applications of Chaos Theory Methods in Clinical Digital Pathology Wlodzmierz Klonowski Chaos in Mechanical Sciences System Augmentation for Detection and Sensing: Theory and Applications Kiran D'Souza and Bogdan I. Epureanu Unveiling Complexity of Church Bells Dynamics Using Experimentally Validated Hybrid Dynamical Model Piotr Brzeski, Tomasz Kapitaniak, and Przemyslaw Perlikowski Multiple Duffing Problems Based on Hilltop Bifurcation Theory on MFM Models Ichiro Ario Chaotic Pattern Recognition The Science and Art of Chaotic Pattern Recognition B. John Oommen, Ke Qin, and Dragos Calitoiu Chaos in Socioeconomic and Human Sciences Why Economics Has Not Accomplished What Physics Has? Marisa Faggini and Anna Parziale Human Fuzzy Rationality as a Novel Mechanism of Emergent Phenomena Ihor Lubashevsky Chaos in Monolingual and Bilingual Speech Elena Babatsouli Chaos in Music Composers and Chaos: A Survey of Applications of Chaos Theory in Musical Arts and Research Scott Mc Laughlin Index

Szczegóły: Handbook of Applications of Chaos Theory - Charilaos Skiadas, Christos Skiadas

Tytuł: Handbook of Applications of Chaos Theory
Autor: Charilaos Skiadas, Christos Skiadas
Wydawnictwo: CRC Press Inc.
ISBN: 9781466590434
Rok wydania: 2016
Ilość stron: 952
Oprawa: Twarda
Waga: 1.88 kg

Recenzje: Handbook of Applications of Chaos Theory - Charilaos Skiadas, Christos Skiadas