Emergent nature : patterns, growth and scaling in the sciences / Miroslav M. Novak, editor.

Format:

Book

Contributor:

Novak, M. M. (Miroslav Michal), 1949-

Language:

English

Subjects (All):

Dynamics--Congresses.

Dynamics.

Nonlinear theories--Congresses.

Nonlinear theories.

Physical Description:

1 online resource (458 p.)

Edition:

1st ed.

Place of Publication:

River Edge, N.J. : World Scientific, c2001.

Language Note:

English

Summary:

This book, based on presentations made at the international conference Fractals 2002, is of interest to everyone in the general field of nonlinear dynamics. The abundance of papers from numerous disciplines makes it exciting reading and provides a unifying thread through the topics, such as ray tracing, structure of peptides, modeling fractal surfaces, cancer growth, macaque monkey cortical neurons, occurrence of earthquakes, and patterns of the World Wide Web. <br><i>Contents: </i><ul><li>Modeling Cerebellar Dynamics <i>(M G Velarde et al.)</i></li><li>Two and Three Dimensional Computer Simu

Contents:

Intro

Contents

Preface

Modeling Cerebellar Dynamics

1 Introduction. Cerebellum lore, underlying basic concepts and explanation of terms

2 From structure to single cell function

3 A model for the olivo-cerebellar loop and clock

4 Further details about the role of noise

Two and Three Dimensional Computer Simulation of Cancer Growth

1 Introduction

2 Simulation

3 Simulation results

4 Conclusions

Cumulative Effective Hölder Exponent Based Indicator for Real-Time Fetal Heartbeat Analysis During Labour

2 Separating Meaningful Components of Fetal Heartbeat

3 Constructing Meaningful Real-time Indicators

4 Cumulative Hölder Exponent Based Real-time Indicator

5 Concluding Remarks

Fractal Features in the Nonstationarity of Physiological Time Series

2 Segmentation Algorithm

3 Application to Human Heart Rate Data

4 Summary

Fractal Analysis of Aggregates of Non-Uniformly Sized Particles: An Application to Macaque Monkey Cortical Pyramidal Neurons

2 Cumulative Mass Method for Non-Uniformly Sized Particles

3 Fractal Analysis of Pyramidal Neurons

4 Results

5 Discussion

Social, Biological and Physical Meta-Mechanisms: A Tale of Tails

1 Background

2 Scaling and random walks

3 Scaling and time series

Towards a Universal Law of Tree Morphometry by Combining Fractal Geometry and Statistical Physics

2 Demonstration of the law

3 Results and discusion

4 Conclusion

An Attempt to Characterize Hedgerow Lattice by Means of Fractal Geometry

2 Material and method

3 Results

4 Discussion and conclusion

Contrasting Self-Similarity and Randomness: Species-Area Relations in a Californian Serpentine Grassland

2 Methods

3 Results.

4 Acknowledgements

Dynamical Regimes in the Metabolic Cycle of a Higher Plant Are Characterized by Different Fractal Dimensions

2 Material and methods

3 Theoretical background

Application of the Joint Multifractal Theory to Study Relationships Between Crop Grain Yields, Soil Electrical Conductivity and Topography

2 Theory

3 Materials and Methods

4 Results and Discussion

5 Conclusions

A Homographic-Weibull Model for Rareness

2 Random models for the "value" of a natural resource: heavy or light tails?

3 Random models for the grade of ore: towards a definition of rareness

4 Statistics of extremes

5 Data analysis and the enrichment process of rare ore

Power-Laws and Scaling in Finance: Empirical Evidence and Simple Models

2 Empirical power-laws: a short review

3 Simple models of wealth distribution

4 Simple models for herding and mimicry

5 Models of feedback effects on price fluctuations

6 Concluding remarks

Facing Non-Stationary Conditions with a New Indicator of Entropy Increase: The Cassandra Algorithm

2 Diffusion Entropy

3 The new method at work with nonstationary sequences

Random Walk Models for Time-Fractional Diffusion

2 The Time-Fractional Diffusion Equation

3 The Discrete Non-Markovian Random Walk

4 CONCLUSIONS

Dynamics of Solar Magnetic Field from Synoptic Charts

2 Minkowski Functionals and Dimension of Solar Synoptic Charts

3 Magnetic Field Dynamics from The Euler Characteristic

Observing Extreme Variability in Nonlinear Systems

2 Mathematical Formulation

3 Numerical Experiments

4 Concluding Discussion.

Gamma/Hadron Separation Using the Multifractal Spectrum From 1/f Fluctuations in Simulated Extensive Air Showers

2 Basic multifractal analysis formulas

3 Cosmic ray simulation and power spectrum

4 Multifractal spectrum calculations

A Lattice Gas Model of Electrochemical Cells: Mean-Field Kinetic Approach

2 Model

3 Mean-Field Kinetic and Poisson Equations

4 Simulations

5 Two-dimensional simulations: dendritic growth

6 Conclusion

Flame Front Instabilities and Development of Fractal Flames

Introduction

Theory of curved stationary flames

Stability limits of curved stationary flames

Development of fractal flame structure

Fractal Functions Using Contraction Method in Probabilistic Metric Spaces

1 Selfsimilar fractal functions

2 Proof of Theorem 3

Growth Dynamics of Rotating DLA-Clusters

2 Theoretical Model

3 Numerical Investigations of the Model

4 Direct Computer Simulation of Rotating DLA-Clusters

6 Acknowledgements

The Presence of the Self-Similarity in Architecture: Some Examples

2 Building's self-similarity

3 Conclusions

An Approach to Ray Tracing Affine IFS Fractals

2 Affine IFS Attractor Anatomy and the Object Instancing Technique

3 The ray-attractor intersection problem

4 Efficiency improvements

5 Results

6 Summary

Modeling and Approximation of Fractal Surfaces with Projected IFS Attractors

3 Surface representation

4 Approximation

5 Conclusion

Rescaled Range Analysis of the Frequency of Occurrence of Moderate-Strong Earthquakes in the Mediterranean Area

2 Seismic Rescaled Range Analytical Method and Data.

3 History of Moderate-strong Earthquakes in the Mediterranean area: Persistence and Memory

4 History of Moderate-strong Earthquakes in the Mediterranean area: "V" Statistic and Recurrence

Localized Principal Components

2 Principal Component Analysis Revisited

3 First Principal Component with a Localization Constraint

4 Toward the Construction of a Basis of Localized Principal Components

6 Acknowledgments

Cluster Formation and Cluster Splitting in a System of Globally Coupled Maps

2 Transverse stability of the partially synchronized state

3 Periodic two-cluster states

4 Cluster splitting via period-doubling

The Hierarchy Structures of the Julia Sets

2 Determination of the local structures

3. Further examples

Some New Features of Interface Roughening Dynamics in Paper Wetting, Burning, and Rupturing Experiments

2 Experimental details

3 Experimental results and discussion

Sidebranching in the Nonlinear Zone: A Self-similar Region in Dendritic Crystal Growth

2 Model and numerical procedure

3 Integral parameters

4 Concluding remarks

Scaling Laws and Frequency Decomposition from Wavelet Transform Maxima Lines and Ridges

2 Continuous wavelet transform - some basic features

3 Two families of wavelets

4 Direct tracing of maxima lines and ridges

5 Application to musicology

6 Conclusions

Random Wavelet Series: Theory and Applications

1 Introduction: Random Wavelet Series

2 Synthesis of multifractal processes

3 Multifractal formalisms

4 Generalized selfsimilarity

Self-Affine Fractal Measurements on Fracture Surfaces of Polymers and Opal-Glass

2 Experiment

4 Conclusions

5 Acknowledgements

Correlation Dimension of Dissipative Continuous Dynamical Systems Stochastically Excited by Temporal Inputs

2 Theory of Dynamical Systems Stochastically Excited by Temporal Inputs

3 Numerical Experiment

4 Summary and Discussion

Anomalous Diffusion on a One-Dimensional Fractal Lorentz Gas with Trapping Atoms

2 Stochastic Lorentz gas

3 Diffusion on a single sample

4 Diffusion on a stochastic Lorentz gas

5 A particular case

Is Fractal Estimation of a Geometry Worth for Acoustics?

Wind Velocity Time Series Analysis

Spatial Leaf Area Distribution of a Faba Bean Canopy

Population Change of Artificial Life Conforming to a Propagating Rule - Generation Overlapping and Fractal Structure Change

Do the Mesoamerican Artistic and Architectural Works Have Fractal Dimension?

Does Randomness in Multinomial Measures Imply Negative Dimensions?

Shape Predictable IFS Representations

Use of Fractals to Capture and Analyse Biodiversity in Plant Morphology

3 Analysis and Results

4 Discussion and future lines

The Nature of the Gray Tones Distribution in Soil Images

On the Fractality of Monthly Minimum Temperature

Author Index.

Notes:

"Based on presentations at the 7th international conference, Fractal 2002"--Pref.

Includes bibliographical references and index.

ISBN:

9789812777720

9812777725

OCLC:

879025256