Complexus Mundi: Emergent Patterns In Nature

Couverture
Miroslav M Novak
World Scientific, 26 janv. 2006 - 360 pages
The dynamics of complex systems can clarify the creation of structures in Nature. This creation is driven by the collective interaction of constitutive elements of the system. Such interactions are frequently nonlinear and are directly responsible for the lack of prediction in the evolution process. The self-organization accompanying these processes occurs all around us and is constantly being rediscovered, under the guise of a new jargon, in apparently unrelated disciplines.This volume offers unique perspectives on aspects of fractals and complexity and, through the examination of complementary techniques, provides a unifying thread in this multidisciplinary endeavor. Do nonlinear interactions play a role in the complexity management of socio-econo-political systems? Is it possible to extract the global properties of genetic regulatory networks without knowing the details of individual genes? What can one learn by transplanting the self-organization effects known in laser processes to the study of emotions? What can the change in the level of complexity tell us about the physiological state of the organism? The reader will enjoy finding the answers to these questions and many more in this book.
 

Table des matières

Evidence for Scale Free Networks
1
Modelling Fractal Dynamics
9
Fractional Relaxation of Distributed Order
33
Dishomogenous Poisson Processes vs Homogeneous NonPoisson Processes
43
Markov Memory in Multifractal Natural Processes
53
Description of Complex Systems in Terms of SelfOrganization Processes of Prime Integer Relations ...
63
Applications to Foreign Currency Exchange Market
73
Fractal Sets From Noninvertible Maps
83
Competition of Doublon Structure in the PhaseField Model
209
Study of Thermal Field in Composite Materials
217
Simulation of Geochemical Banding in AcidizationPrecipitation Experiments InSitu
225
Non Markovian and Biased Behavior
237
A Contribution to the Description and the Understanding of Meteorological Phenomena in Satellite Images ...
247
The Distance Ratio Fractal Image
257
Iterated Function Systems in Mixed Euclidean and padic Spaces
267
Multifractality of the Multiplicative Autoregressive Point Processes
277

A Generative Construction and Visualization of 3D Fractal Measures
103
Complexity Management in the Age of Globalization
113
Fractals Complexity and Chaos in Supply Chain Networks
135
The Effects of Different Competition Rules on the PowerLaw Exponent of High Income Distributions ...
147
Synergetics on its Way to the Life Sciences
155
Some Connections
171
Modelling Pattern Formation Upon LaserInduced Etching
181
Fractal Properties of Some Machined Surfaces
191
Fractals Morphological Spectrum and Complexity of Interfacial Patterns in NonEquilibrium Solidification ...
199
Analysis of Geographical Distribution Patterns in Plants Using Fractals
287
Hierarchy of Cellular Automata in Relation to Control of Chaos or Anticontrol
297
Fractal Analysis of the Images Using Wavelet Transformation
305
Clustering Phenomena in the Time Distribution of Lightning
313
Finding Four Familiar Fractals in the Tower of Hanoi
323
Monitoring the Depth of Anaesthesia Using Fractal Complexity Method
333
The Complex Couplings and Gompertzian Dynamics
343
Author Index
345
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