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Models and Applications of Chaos Theory in Modern Sciences

Book

Models and Applications of Chaos Theory in Modern Sciences

DOI link for Models and Applications of Chaos Theory in Modern Sciences

Models and Applications of Chaos Theory in Modern Sciences book

Models and Applications of Chaos Theory in Modern Sciences

DOI link for Models and Applications of Chaos Theory in Modern Sciences

Models and Applications of Chaos Theory in Modern Sciences book

ByElhadj Zeraoulia
Edition 1st Edition
First Published 2012
eBook Published 4 January 2012
Pub. Location Boca Raton
Imprint CRC Press
DOI https://doi.org/10.1201/b11408
Pages 742
eBook ISBN 9780429086151
Subjects Mathematics & Statistics
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Zeraoulia, E. (2011). Models and Applications of Chaos Theory in Modern Sciences (1st ed.). CRC Press. https://doi.org/10.1201/b11408

ABSTRACT

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 consid

TABLE OF CONTENTS

part |2 pages

Section I: Models and Applications of Chaos Theory in Medicine

chapter 1|11 pages

A Chaotic View of Behavior Change: A Quantum Leap for Health Promotion

ByK. Resnicow, R. Vaughan

chapter 2|2 pages

Crisis and Chaos in Behavioral Nutrition and Physical Activity

ByT. Baranowski

chapter |3 pages

Discussion Nonissues

ByElhadj Zeraoulia

chapter |3 pages

Abbreviations

ByElhadj Zeraoulia

chapter 3|15 pages

Memory in Astrocytes: A Hypothesis

ByR.M. Caudle

chapter 4|10 pages

Nonlinear Dynamics and Chaos in a Fractional-Order HIV Model

ByH. Ye, Y. Ding

chapter |1 pages

Conclusions

ByElhadj Zeraoulia

chapter |2 pages

References

ByElhadj Zeraoulia

chapter 5|1 pages

Research on the Relation of EEG Signal Chaos Characteristics with High-Level Intelligence Activity of Human Brain

ByElhadj Zeraoulia

chapter |8 pages

Introduction

ByElhadj Zeraoulia

chapter |1 pages

CTM and the Deterministic Computation of the Signals

ByElhadj Zeraoulia

chapter |6 pages

Correlation Dimension Computation

ByElhadj Zeraoulia

chapter 6|6 pages

Nonlinear Filtering of Oscillatory Measurements in Cardiovascular Applications

ByX.Y. Wang, M. Juan, G.L.Tan and L.X. Zou

chapter |5 pages

The Unscented Kalman Filter

ByElhadj Zeraoulia

chapter |5 pages

Application to ECG Estimation

ByElhadj Zeraoulia

chapter |2 pages

References

ByElhadj Zeraoulia

chapter 7|9 pages

Temporal Redistribution of Plantar Pressure Points in the Healthy and Diabetics: A Time Series Analysis of the Neuro -Capillary Chaos

ByR. Vepa

part |2 pages

Section II: Models and Applications of Chaos Theory in Biology

chapter 1|11 pages

An Astrobiological Thought on Sustainable Life

ByT. Naganuma

chapter 2|1 pages

Matrix Frequency Analysis of Oryza Sativa (Japonica Cultivar-Group) Complete Genomes

ByElhadj Zeraoulia

chapter |11 pages

Introduction

ByElhadj Zeraoulia

chapter |5 pages

Chromosome 5

ByElhadj Zeraoulia

chapter 3|1 pages

The Capabilities of Chaos and Complexity

ByK. Manikandakumar, S.M. Kumaran and R. Srikumar D.L. Abel

chapter |4 pages

Introduction

ByElhadj Zeraoulia

chapter |13 pages

Order, Structure and Pattern

ByElhadj Zeraoulia

chapter |1 pages

Symbolic Dynamics Analysis

ByElhadj Zeraoulia

chapter 2|12 pages

Kinds of Contingency

ByElhadj Zeraoulia

chapter |13 pages

Acknowledgements

ByElhadj Zeraoulia

part |2 pages

Section III Models and Applications of Chaos Theory in Ecology

chapter 1|27 pages

A Unifi ed Approach of Catastrophic Events

ByElhadj Zeraoulia

chapter 2|19 pages

Evolutionary Geomorphology: Thresholds and Nonlinearity in Landform Response to Environmental Change

ByElhadj Zeraoulia

part |2 pages

Section IV Models and Applications of Chaos Theory in Economy

chapter 1|7 pages

Physics and the Foundations of Economic Science: Comments in Memory of Ilya Prigogine

ByElhadj Zeraoulia

chapter |1 pages

Development

ByElhadj Zeraoulia

chapter |1 pages

References

ByElhadj Zeraoulia

chapter 2|2 pages

Neumannian Economy in Multi-Agent Approach Investigation of Stability and Instability in Economic Growth

ByElhadj Zeraoulia

chapter |8 pages

First Law

ByElhadj Zeraoulia

chapter 3|1 pages

Theoretical Aspects of the Economic Transition: Case of Romania

ByElhadj Zeraoulia

chapter |9 pages

Introduction

ByElhadj Zeraoulia

chapter |10 pages

End of Transition

ByElhadj Zeraoulia

chapter 4|2 pages

Complex Dynamics in a Nonlinear Cobweb Model for Real Estate Market

ByElhadj Zeraoulia

chapter |1 pages

d,d,d,d,e,e,e

ByElhadj Zeraoulia

chapter |1 pages

Stability Analysis Bifurcation and Chaos

ByElhadj Zeraoulia

chapter |1 pages

Stability Analysis

ByElhadj Zeraoulia

chapter |1 pages

( ) ( )

ByElhadj Zeraoulia

chapter |7 pages

( )( ) () ( ) ( ) ()

ByElhadj Zeraoulia

chapter 5|9 pages

Chaos Models in Economics

ByElhadj Zeraoulia

chapter 6|3 pages

Complex Dynamics of an Adnascent-type Game Model

ByElhadj Zeraoulia

chapter |1 pages

⎪ ⎧ x = x + αx (a − 3bx − 2cx ),

ByElhadj Zeraoulia

chapter |8 pages

λ <1 λ > −1

ByElhadj Zeraoulia

chapter 7|6 pages

A Production-Inventory Model for Deteriorating Items with Production Disruptions

ByElhadj Zeraoulia

chapter |4 pages

−( p−d)(1−e p ) Δ ≥

ByElhadj Zeraoulia

chapter |2 pages

θTTθT

ByElhadj Zeraoulia

chapter |2 pages

References

ByElhadj Zeraoulia

chapter 8|2 pages

Nonlinear Noise Estimation in International Stock Markets: Coarse-Grained Entropy Method

ByElhadj Zeraoulia

chapter |3 pages

Sample Data and Descriptive Statistics

ByElhadj Zeraoulia

chapter |1 pages

Nonlinear Noise Estimation Coarse-grained Entropy Method τ

ByElhadj Zeraoulia

chapter |5 pages

Estimation Results m

ByElhadj Zeraoulia

part |2 pages

Section V Models and Applications of Chaos Theory in Electronics

chapter 1|11 pages

Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment

ByElhadj Zeraoulia

chapter 2|13 pages

A Robust Chaos-Based True Random Number Generator Embedded in Reconfi gurable Switched-Capacitor Hardware

ByElhadj Zeraoulia

chapter |4 pages

FIPS Statistical Tests

ByElhadj Zeraoulia

chapter 3|9 pages

Conservative Chaos Generators with CCII+ Based on Mathematical Model of Nonlinear Oscillator

ByElhadj Zeraoulia

chapter |1 pages

Conclusion

ByElhadj Zeraoulia

part |2 pages

Section VI Models and Applications of Chaos Theory in Human Sciences

chapter 1|17 pages

Ancient and Current Chaos Theories

ByElhadj Zeraoulia

chapter |2 pages

References

ByElhadj Zeraoulia

chapter 2|6 pages

Complex Freedom

ByElhadj Zeraoulia

chapter |1 pages

Conclusion

ByElhadj Zeraoulia

chapter |1 pages

References

ByElhadj Zeraoulia

chapter 3|5 pages

An Understanding of Language Development Models—Pidginization from the Perspective of Chaos Theory

ByElhadj Zeraoulia

chapter |4 pages

Language Contact and Pidgins Two Attractors: Strive for New Information and Cling to Tradition

ByElhadj Zeraoulia

chapter 4|1 pages

Chaos and Natural Language Processing

ByElhadj Zeraoulia

chapter |11 pages

Meaning and Dynamical Systems

ByElhadj Zeraoulia

chapter 5|3 pages

Discrete Phase-Locked Loop Systems and Spreadsheets

ByElhadj Zeraoulia

chapter |18 pages

( ) () ()

ByElhadj Zeraoulia

chapter |3 pages

Conclusion

ByElhadj Zeraoulia

chapter 6|4 pages

Modeling Complex Spatial Dynamics of Two-Population Interaction in Urbanization Process

ByElhadj Zeraoulia

chapter |3 pages

[ ] [ ]

ByElhadj Zeraoulia

chapter |10 pages

Parameters Estimation and Model Selection

ByElhadj Zeraoulia

chapter |3 pages

Appendices Regression Analysis Results of the US Urbanization Model

ByElhadj Zeraoulia

chapter 7|7 pages

Characterizing Growth and Form of Fractal Cities with Allometric Scaling Exponents

ByElhadj Zeraoulia

chapter |17 pages

N = N 5

ByElhadj Zeraoulia

chapter 8|13 pages

Estimating the Distribution of Dynamic Invariants: Illustrated with an Application to Human Photo-Plethysmographic Time Series

ByElhadj Zeraoulia

chapter |1 pages

Acknowledgements

ByElhadj Zeraoulia

chapter 9|6 pages

Asymmetry, Symmetry and Beauty

ByElhadj Zeraoulia

chapter |27 pages

Results Asymmetry and Symmetry

ByElhadj Zeraoulia

chapter 10|10 pages

Nonlinear Dynamics in Psychology

ByElhadj Zeraoulia

chapter |8 pages

Motivation

ByElhadj Zeraoulia

chapter |1 pages

Humanistic Psychology

ByElhadj Zeraoulia

chapter |6 pages

Summary

ByElhadj Zeraoulia

part |2 pages

Section VII Models and Applications of Chaos Theory in Mechanical Sciences

chapter 1|1 pages

Chemical Reactivity Dynamics and Quantum Chaos in Highly Excited Hydrogen Atoms in an External Field: A Quantum Potential Approach

ByElhadj Zeraoulia

chapter |8 pages

Introduction

ByElhadj Zeraoulia

chapter |13 pages

( ) ( )

ByElhadj Zeraoulia

chapter 2|3 pages

Regular and Chaotic Motion of a Bush-Shaft System with Tribological Processes

ByElhadj Zeraoulia

chapter |2 pages

( )( )

ByElhadj Zeraoulia

chapter |7 pages

( ) ( ) ()

ByElhadj Zeraoulia

chapter |1 pages

References

ByElhadj Zeraoulia

chapter 3|9 pages

Relaxed Plasma Equilibria and Entropy-Related Plasma Self-Organization Principles

ByElhadj Zeraoulia

chapter |1 pages

Maximum Entropy Production(MEP) Principles

ByElhadj Zeraoulia

chapter |3 pages

Minimax Entropy Production Principles

ByElhadj Zeraoulia

chapter 4|5 pages

Generalized Complexity and Classical-Quantum Transition

ByElhadj Zeraoulia

chapter |9 pages

Present Results Introducing the q-statistical Complexity

ByElhadj Zeraoulia

chapter 5|2 pages

A New Mechanical Model for Particle Transport by Surface Waves and Applications

ByElhadj Zeraoulia

chapter |5 pages

() () () ( )

ByElhadj Zeraoulia

chapter |11 pages

tvu () ()

ByElhadj Zeraoulia

chapter 6|12 pages

Chaotic Behavior of the Biharmonic Dynamics System

ByElhadj Zeraoulia

chapter |5 pages

σ) dt.

ByElhadj Zeraoulia

chapter |1 pages

Acknowledgements

ByElhadj Zeraoulia

chapter 7|7 pages

Modeling, Chaotic Behavior and Control of Dissipation Properties of Hysteretic Systems

ByElhadj Zeraoulia

chapter |15 pages

() ( ) ( )()

ByElhadj Zeraoulia

chapter 8|1 pages

Nonlinear Dynamics and Chaos of Microcantilever-Based TM-AFMs with Squeeze Film Damping Effects

ByElhadj Zeraoulia

chapter |2 pages

Introduction

ByElhadj Zeraoulia

chapter |5 pages

Micro-Cantilever Vibrating in Air Hydrodynamic Loading Effect

ByElhadj Zeraoulia

chapter |12 pages

Results and Discussion

ByElhadj Zeraoulia

chapter |2 pages

Conclusions

ByElhadj Zeraoulia

chapter 9|8 pages

Mathematical Identifi cation of Homogenisation Processes in Argon Stirred Ladle

ByElhadj Zeraoulia

chapter 10|4 pages

Analysis of a Nonlinear Aeroelastic System with Parametric Uncertainties Using Polynomial Chaos Expansion

ByElhadj Zeraoulia

chapter |4 pages

( ) ( )

ByElhadj Zeraoulia

chapter |10 pages

Nonintrusive Projection Method

ByElhadj Zeraoulia

chapter |2 pages

( ( ) )

ByElhadj Zeraoulia

chapter 11|10 pages

Chaos Synchronization Criteria and Costs of Sinusoidally Coupled Horizontal Platform Systems

ByElhadj Zeraoulia

chapter |1 pages

This Th bios ok bo ioska is co amcpo il m at p io il n ati oofnro ec f en re t ce s n el t ec s t ele pcat pe pras This book is a compilation of recent select ppaepres rs pres p en re ti sneg nt a in c g om acporm eh pernesh iv en esv iv ie e w vi oenw so omnseomm odels and presenting a comprehensive view on som eemm od oedleslasnad nd

ByElhadj Zeraoulia
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