Complexus Mundi: Emergent Patterns in Nature

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Miroslav Michal Novak
World Scientific, 2006 - Science - 346 pages
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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. Contents: Structure of Genetic Regulatory Networks: Evidence for Scale Free Networks (L S Liebovitch); Modelling Fractal Dynamics (B West); Complexity in Nature and Society: Complexity Management in the Age of Globalization (K Mainzer); Analysis of Geographical Distribution Patterns in Plants Using Fractals (A Bari); A Cornucopia of Connections: Finding Four Familiar Fractals in the Tower of Hanoi (D R Camp); Fractal Sets Generated by Two-Dimensional Non-Invertible Maps (Ch Mira); Fractals, Morphological Spectrum and Complexity of Interfacial Patterns in Non-equilibrium Solidification (P K Galenko); Modelling Pattern Formation Upon Laser-Induced Etching (M Haase); Synergetics as an Approach to Complexity in the Humanities (H Haken); Fractal Analysis of the Images Using Wavelet Transformation (P Jerabkova); Monitoring the Depth of Anaesthesia Using Fractal Complexity Method (W Klonowski); Description of Complex Systems in Terms of Self-Organization Processes of Prime Integer Relations (V Korotkikh); Genome as a Fractal 2D Walk (A Loskutov); Generalization of the DLA-Process with Different Inmiscible Components by Time-Scale Roughening (A Loskutov); Fractional Relaxation of Distributed Order (F Mainardi); Hierarchy of Cellular Automata in Relation to Control of Chaos or Anticontrol (M Markus); A Generative Construction and Visualization of 3D Fractal Measures (T Martyn); Markov Memory in Multifractal Natural Processes (F Pallikari); Fractals, Complexity and Chaos in Supply Chain Networks (M A Pearson); Complexity, Fractals, Nature and Industrial Design: Some Connections (N Sala); Simulation of Geochemical Banding in Acidization-Precipitation Experiments In Situ (R F Sultan); Clustering Phenomena in the Time Distribution of Lightning (L Telesca); Dynamical Decomposition of Multifractal Time Series as Fractal Evolution and Long-Term Cycles: Applications to Foreign Currency Exchange Market (A Turiel); The Complex Couplings and Gompertzian Dynamics (P W Waliszewski); The Competition Rule of the High Income Model and the Power-Law Exponents (K Y Yamamoto); The Distance Radio Fractal Image (X-Z Zhang). Key Features Contributions from famous nonlinear scientists such as H Haken, K Mainzer, Ch Mira, L Liebovitch and B West A unique blend of multidisciplinary topics A snapshot of current activities in the fields of fractals and complexity Readership: Academics in multidisciplinary research, primarily physics, mathematics, engineering, and life sciences.
 

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Contents

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Page 342 - Approach to an irregular time series on the basis of the fractal theory.

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