Description
Handbook of Applications of Chaos Theory
Coordinators: Skiadas Christos H., Skiadas Charilaos
Language: English
Subjects for Handbook of Applications of Chaos Theory:
Keywords
BDS Test; Empirical Wavelet Coefficients; nonlinear dynamical systems theory; Ordinary Differential Equations; chaotic theory; Phase Space Reconstruction; evolutionary dynamics; Plateau Border; Lyapunov exponents; Strange Attractor; chaos in plasma physics; Data Sets; chaotic interference versus decoherence; Bifurcation Diagram; quantum graphs; Vice Versa; chaotic light scattering; Henon Map; chaotic pattern recognition; Duffing Oscillation; Poincaré disc; Unstable Manifolds; evolution equations; Largest Lyapunov Exponent; chaos analysis; Embedding Dimension; Ezequiel del Rio; Dynamical Traps; Sergio Elaskar; Asymptotic Stability; Ivan Zelinka; Chaotic Map; Erik Mosekilde; Hidden Attractors; Jakob Lund Laugesen; Phase Portrait; Zhanybai T; Zhusubaliyev; Period Doubling Bifurcation; Roger Lewandowski; Periodic Orbits; Nguyen H; Tuan Anh; Deterministic Chaos; Dang Van Liet; Limit Cycle; Shunji Kawamoto; Hopf Bifurcation; C.M.A; Pinto; Cauchy Problem; Ana R.M; Carvalho; Kunznetsov Nikolay; Leonov Gennady; Nikolay Kunznetsov; Gennady Leonov; Yusuke Nishiuchi; Tetsushi Ueta; Oleg Mikhailovich Kiselev; Alexander G; Ramm; Ramm Alexander G; Garcin Matthieu; W; Kulp Christopher; J; Niskala Brandon; M; Lewkowicz; J; Levitan; Y; Ben Zion; L; Horwitz; Tuan D; Pham; Wada Ikuo; Igor V; Ovchinnikov; Grienggrai Rajchakit; Dan-Gheorghe Dimitriu; Maricel Agop; Victor J; Law; Cadot Olivier; Ducceschi Michele; Humbert Thomas; Miquel Benjamin; Mordant Nicolas; Josserand Christophe; Touzé Cyril; S.V; Prants; M.V; Budyansky; M.Yu; Uleysky; Starrett John; A; Miranda Rodrigo; L; Rempel Erico; C.-L; Chian Abraham; B; Schelin Adriane; V; Sokolov Valentin; V; Zhirov Oleg; wniczak Michał; Bauch Szymon; Sirko Leszek; L; Vladimir; K; Kalashnikov; Alberto Tufaile; Adriana Pedrosa; Biscaia Tufaile; Davide Faranda; Méndez Vicenç; Iomin Alexander; Wlodzmierz Klonowski; Kiran D'Souza; Bogdan I; Epureanu; Brzeski Piotr; Kapitaniak Tomasz; Perlikowski Przemyslaw; Ario Ichiro; B; John Oommen; Qin Ke; Calitoiu Dragos; Faggini Marisa; Anna Parziale; Ihor Lubashevsky; Elena Babatsouli; Scott Mc Laughlin
Publication date: 12-2020
· 17.8x25.4 cm · Paperback
Publication date: 06-2016
· 17.8x25.4 cm · Hardback
Description
/li>Contents
/li>Biography
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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.
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.
Christos H. Skiadas, PhD, was the founder and director of the Data Analysis and Forecasting Laboratory at the Technical University of Crete. He is chair of the Chaotic Modeling and Simulation Conference series. He has published more than 80 papers, three monographs, and 12 books, including Chaotic Modeling and Simulation: Analysis of Chaotic Models, Attractors and Forms (Chapman & Hall/CRC, October 2008). His research interests include innovation diffusion modeling and forecasting, life table data modeling, healthy life expectancy estimates, and deterministic, stochastic, and chaotic modeling.
Charilaos Skiadas, PhD, is an associate professor in mathematics and computer science at Hanover College. He is the coauthor of Chaotic Modeling and Simulation: Analysis of Chaotic Models, Attractors and Forms (Chapman & Hall/CRC, October 2008). His research interests encompass a wide array of mathematical and computing topics, ranging from algebraic geometry to statistics and programming languages to data science.