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      Book

      Handbook of Applications of Chaos Theory
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      Book

      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

      Edited ByChristos H. Skiadas, Charilaos Skiadas
      Edition 1st Edition
      First Published 2016
      eBook Published 31 July 2016
      Pub. Location Boca Raton
      Imprint Chapman and Hall/CRC
      DOI https://doi.org/10.1201/b20232
      Pages 952
      eBook ISBN 9781315374109
      Subjects Engineering & Technology, Mathematics & Statistics
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      Skiadas, C.H., & Skiadas, C. (Eds.). (2016). Handbook of Applications of Chaos Theory (1st ed.). Chapman and Hall/CRC. https://doi.org/10.1201/b20232

      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 1|18 pages

      The Intermittency Route to Chaos

      ByEzequiel del Rio, Sergio Elaskar

      chapter 2|18 pages

      Deterministic Chaos and Evolutionary Dynamics: Mutual Relations

      ByIvan Zelinka

      chapter 3|23 pages

      On the Transition to Phase Synchronized Chaos

      ByErik Mosekilde, Jakob Lund Laugesen, Zhanybai T. Zhusubaliyev

      chapter 4|19 pages

      The Kolmogorov-Taylor Law of Turbulence: What Can Rigorously Be Proved?

      ByRoger Lewandowski

      chapter 5|9 pages

      Nonlinear Dynamics of Two-Dimensional Chaotic Maps and Fractal Sets for Snow Crystals

      ByNguyen H. Tuan Anh, Dang Van Liet, Shunji Kawamoto

      chapter 6|9 pages

      Fractional Chen Oscillators

      ByC.M.A. Pinto, Ana R.M. Carvalho

      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

      ByKuznetsov Nikolay, Leonov Gennady

      chapter 8|9 pages

      Numerical Visualization of Attractors: Self-Exciting and Hidden Attractors

      ByNikolay Kuznetsov, Gennady Leonov

      chapter 9|10 pages

      Bifurcation Analysis of a Simple 3D BVP Oscillator and Chaos Synchronization of Its Coupled Systems

      ByYusuke Nishiuchi, Tetsushi Ueta

      chapter 10|5 pages

      Capture of a Particle into Resonance

      ByOleg Mikhailovich Kiselev

      section 3|1 pages

      Chaotic Data Analysis, Equations, and Applications

      chapter 11|19 pages

      Integral Equaions and Applications

      ByAlexander G. Ramm

      chapter 12|18 pages

      Large-Time Behavior of Solutions to Evolution Equations

      ByRamm Alexander G

      chapter 13|10 pages

      Empirical Wavelet Coefficients and Denoising of Chaotic Data in the Phase Space

      ByGarcin Matthieu

      chapter 14|20 pages

      Characterization of Time Series Data

      ByW. Kulp Christopher, J. Niskala Brandon

      chapter 15|22 pages

      Geometry of Local Instability in Hamiltonian Dynamics

      ByM. Lewkowicz, J. Levitan, Y. Ben Zion, L. Horwitz

      chapter 16|18 pages

      Chaos Analysis of ER-Network Dynamics in Microscopy Imaging

      ByTuan D. Pham, Wada Ikuo

      chapter 17|35 pages

      Supersymmetric Theory of Stochastics:Demystification of Self-Organized Criticality

      ByIgor V. Ovchinnikov

      chapter 18|11 pages

      New Robust Stability of Discrete-Time Hybrid Systems

      ByGrienggrai Rajchakit

      section 4|1 pages

      Chaos in Plasma

      chapter 19|83 pages

      Chaos in Plasma Physics

      ByDan-Gheorghe Dimitriu, Maricel Agop

      chapter 20|17 pages

      Plasma Harmonic and Overtone Coupling

      ByVictor J. Law

      section 5|1 pages

      Chaos in flows and Turbulence

      chapter 21|24 pages

      Wave Turbulence in Vibrating Plates

      ByCadot Olivier, Ducceschi Michele, Humbert Thomas, Miquel Benjamin, Mordant Nicolas, Josserand Christophe, Touzé Cyril

      chapter 22|44 pages

      Nonlinear Dynamics of the Oceanic Flow

      ByS.V. Prants, M.V. Budyansky, M.Yu. Uleysky

      chapter 23|17 pages

      The Suspensions of Maps to Flows

      ByStarrett John

      chapter 24|19 pages

      Lagrangian Coherent Structures at the Onset of Hyperchaos in Two-Dimensional Flows

      ByA. Miranda Rodrigo, L. Rempel Erico, C.-L. Chian Abraham, B. Schelin Adriane

      section 6|1 pages

      Chaos and Quantum Theory

      chapter 25|26 pages

      Chaotic Interference versus Decoherence: External Noise, State Mixing, and Quantum–Classical Correspondence

      ByV. Sokolov Valentin, V. Zhirov Oleg

      chapter 26|26 pages

      Application of Microwave Networks to Simulation of Quantum Graphs

      ByŁawniczak Michał, Bauch Szymon, Sirko Leszek

      section 7|1 pages

      Optics and Chaos

      chapter 27|40 pages

      Optics and Chaos: Chaotic, Rogue, and Noisy Optical Dissipative Solitons

      ByL. Vladimir, K. Kalashnikov

      chapter 28|9 pages

      Hyperbolic Prism, Poincaré Disk, and Foams

      ByAlberto Tufaile, Adriana Pedrosa, Biscaia Tufaile

      chapter 29|8 pages

      Parhelic-Like Circle and Chaotic Light Scattering

      ByAdriana Pedrosa

      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

      ByDavide Faranda

      chapter 31|24 pages

      Comb Models for Transport along Spiny Dendrites

      ByMéndez Vicenç, Iomin Alexander

      chapter 32|10 pages

      Applications of Chaos Theory Methods in Clinical Digital Pathology

      ByWlodzmierz Klonowski

      section 9|1 pages

      Chaos in Mechanical Sciences

      chapter 33|16 pages

      System Augmentation for Detection and Sensing: Theory and Applications

      ByKiran D’Souza, Bogdan I. Epureanu

      chapter 34|9 pages

      Unveiling Complexity of Church Bells Dynamics Using Experimentally Validated Hybrid Dynamical Model

      ByBrzeski Piotr, Kapitaniak Tomasz, Perlikowski Przemyslaw

      chapter 35|24 pages

      Multiple Duffing Problems Based on Hilltop Bifurcation Theory on MFM Models

      ByArio Ichiro

      section 10|1 pages

      Chaotic Pattern Recognition

      chapter 36|58 pages

      The Science and Art of Chaotic Pattern Recognition

      ByB. John Oommen, Qin Ke, Calitoiu Dragos

      section 11|1 pages

      Chaos in Socioeconomic and Human Sciences

      chapter 37|22 pages

      Why Economics Has Not Accomplished What Physics Has?

      ByFaggini Marisa, Anna Parziale

      chapter 38|51 pages

      Human Fuzzy Rationality as a Novel Mechanism of Emergent Phenomena

      ByIhor Lubashevsky

      chapter 39|12 pages

      Chaos in Monolingual and Bilingual Speech

      ByElena Babatsouli

      section 12|1 pages

      Chaos In Music

      chapter 40|20 pages

      Composers and Chaos: A Survey of Applications of Chaos Theory in Musical Arts and Research

      ByScott Mc Laughlin
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