Models and Applications of Chaos Theory in Modern Sciences

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Features

  • Presents a select group of papers that provide a comprehensive view of the models and applications of chaos theory
  • Covers the experimental and theoretical aspects of the subject
  • Considers the problems arising in the study of discrete and continuous time chaotic dynamical systems modeling the several phenomena in nature and society
  • Highlights the techniques being developed to meet the challenges that stem from the area of nonlinear dynamical systems theory
  • Examines a variety of current topics of interest

Summary

This book presents a select group of papers that provide a comprehensive view of the models and applications of chaos theory in medicine, biology, ecology, economy, electronics, mechanical, and the human sciences. Covering both the experimental and theoretical aspects of the subject, it examines a range of current topics of interest. It considers the problems arising in the study of discrete and continuous time chaotic dynamical systems modeling the several phenomena in nature and society—highlighting powerful techniques being developed to meet these challenges that stem from the area of nonlinear dynamical systems theory.

Table of Contents

MODELS AND APPLICATIONS OF CHAOS THEORY IN MEDICINE
A Chaotic View of Behavior Change: A Quantum Leap for Health Promotion: K. Resnicow and R. Vaughan
Crisis and Chaos in Behavioral Nutrition and Physical Activity: T. Baranowski
Memory in Astrocytes: A Hypothesis: R.M. Caudle
Nonlinear Dynamics and Chaos in a Fractional-Order HIV Model: H. Ye and Y. Ding
Research on the Relation of EEG Signal Chaos Characteristics with High-Level Intelligence Activity of Human Brain: X.Y. Wang, M. Juan, G.L.Tan and L.X. Zou
Nonlinear Filtering of Oscillatory Measurements in Cardiovascular Applications: R.Vepa
Temporal Redistribution of Plantar Pressure Points in the Healthy and Diabetics: A Time Series Analysis of the Neuro-Capillary Chaos: D.V. Oberoi, C. Pradhan, C.J. Kumar and S.C. D’Souza

MODELS AND APPLICATIONS OF CHAOS THEORY IN BIOLOGY
An Astrobiological Thought on Sustainable Life: T. Naganuma
Matrix Frequency Analysis of Oryza Sativa (Japonica Cultivar-Group) Complete Genomes: K. Manikandakumar, S.M. Kumaran and R. Srikumar • The Capabilities of Chaos and Complexity: D.L. Abel

MODELS AND APPLICATIONS OF CHAOS THEORY IN ECOLOGY
A Unified Approach of Catastrophic Events: S. Nikolopoulos, P. Kapiris, K. Karamanos and K. Eftaxias
Evolutionary Geomorphology: Thresholds and Nonlinearity in Landform Response to Environmental Change: J.D. Phillips

MODELS AND APPLICATIONS OF CHAOS THEORY IN ECONOMICS
Physics and the Foundations of Economic Science: Comments in Memory of Ilya Prigogine: Richard H. Day
Neumannian Economy in Multi-Agent Approach Investigation of Stability and Instability in Economic Growth: Katalin Martinás
Theoretical Aspects of the Economic Transition: Case of Romania: Cezar Scarlat and Eugen I. Scarlat
Complex Dynamics in a Nonlinear Cobweb Model For Real Estate Market: Junhai Ma and Lingling Mu
Chaos Models in Economics: Sorin Vlad, Paul Pascu and Nicolae Morariu
Complex Dynamics of an Adnascent-type Game Model: Baogui Xin, Junhai Ma and Qin Gao
A Production-Inventory Model for Deteriorating Items with Production Disruptions: Yong He and Ju He
Nonlinear Noise Estimation in International Stock Markets: Coarse-Grained Entropy Method: Yong Fang

MODELS AND APPLICATIONS OF CHAOS THEORY IN ELECTRONICS
Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment: J. Petržela, Z. Kolka and S. Hanus
A Robust Chaos-Based True Random Number Generator Embedded in Reconfigurable Switched-Capacitor Hardware: M. Drutarovský and P. Galajda
Conservative Chaos Generators with CCII+ Based on Mathematical Model of Nonlinear Oscillator: J. Petržela and J. Slezák

MODELS AND APPLICATIONS OF CHAOS THEORY IN THE HUMAN SCIENCES
Ancient and Current Chaos Theories: G. Gündüz
Complex Freedom: D. Penjak
An Understanding of Language Development Models-Pidginization from the Perspective of Chaos Theory: G. Zhao
Chaos and Natural Language Processing: M. Crisan
Discrete Phase-Locked Loop Systems and Spreadsheets: S. Abramovich, E. Kudryashova, G.A. Leonov and S. Sugden
Modeling Complex Spatial Dynamics of Two-Population Interaction in Urbanization Process: Y. Chen and F. Xu
Characterizing Growth and Form of Fractal Cities with Allometric Scaling Exponents: Y. Chen
Estimating the Distribution of Dynamic Invariants: Illustrated with an Application to Human Photo-Plethysmographic Time Series: M. Small
Asymmetry, Symmetry and Beauty: H. Sabelli, A. Lawandow and A.R. Kopra
Nonlinear Dynamics in Psychology: S.J. Guastello

MODELS AND APPLICATIONS OF CHAOS THEORY IN THE MECHANICAL SCIENCES
Chemical Reactivity Dynamics and Quantum Chaos in Highly Excited Hydrogen Atoms in an External Field: A Quantum Potential Approach: P.K. Chattaraj and B. Maiti
Regular and Chaotic Motion of a Bush-Shaft System with Tribological Processes: J. Awrejcewicz and Y. Pyryev
Relaxed Plasma Equilibria and Entropy-Related Plasma Self-Organiza Principles: R.L.Dewar, M.J. Hole, M. MeGann, R. Mills and S.R. Hodson
Generalized Complexity and Classical-Quantum Transition: A.M. Kowalski, A. Plastino and M. Casas
A New Mechanical Model for Particle Transport by Surface Waves and Applications: M. Ragulskis, E. Sakyte, J.M. Seoane and M.A.F. Sanjuán
Chaotic Behavior of the Biharmonic Dynamics System: V.S. Aslanov
Modeling, Chaotic Behavior and Control of Dissipation Properties of Hysteretic Systems: J. Awrejcewicz and L. Dzyubak
Nonlinear Dynamics and Chaos of Microcantilever-Based TM-AFMs with Squeeze Film Damping Effects: W.M. Zhang , G. Meng, J.B. Zhou and J.Y. Chen
Mathematical Identification of Homogenisation Processes in Argon Stirred Ladle: K. Michalek and K. Gryc
Analysis of a Nonlinear Aeroelastic System with Parametric Uncertainties Using Polynomial Chaos Expansion: A. Desai and S. Sarkar
Chaos Synchronization Criteria and Costs of Sinusoidally Coupled Horizontal Patform Systems: J. Cai, X. Wu and S. Chen

Author Bio(s)

Dr. Elhadj Zeraoulia, Department of Mathematics, University of Tebéssa, Algeria