Complexus Mundi: Emergent Patterns In NatureMiroslav 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
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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 |
345 | |
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Expressions et termes fréquents
analysis anisotropy anticontrol attractor basin boundary behavior bifurcation calculated Cantor set cascade Chaos chaotic characterized complex system component computational connected correlation corresponding crystal curve cycles defined denote density depends derivative described determined diffusion distance ratio distribution doublon dynamical systems equilibrium etching evolution exponent Figure finite fluctuations fractal dimension fractal measure fractional calculus fractional Langevin function genes global Haar measure Hausdorff Hausdorff dimension Hurst exponents interactions interface interval iteration Langevin equation Laplace transform laser linear Markov mathematical Mittag-Leffler function multifractal multipliers noninvertible nonlinear obtained order parameters patterns phase phase-field Phys physical pixels power-law preimages prime integer relations properties Propofol random region scaling self-similarity sequence signal simulation singularity singularity exponents solution space spectrum stochastic strange repeller structure surface synergetics Taxon theory thermal Tower of Hanoi transform transition undercooling variables