Complexus Mundi : Emergent Patterns in Nature.
Başlık:
Complexus Mundi : Emergent Patterns in Nature.
Yazar:
Novak, Miroslav M.
ISBN:
9789812774217
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 online resource (359 pages)
İçerik:
Contents -- Preface -- Structure of Genetic Regulatory Networks: Evidence for Scale Free Networks -- 1. Introduction -- 2. Models of Genetic Regulatory Networks -- 3. Statistics of the mRNA from the Different Models -- 4. Experimental Data -- 5. Conclusions -- 6. Acknowledgments -- References -- Modelling Fractal Dynamics -- 1. Introduction -- 2. Fractional calculus -- 3. Fractional Langevin equations -- 4. Summary conclusions and speculations -- References -- Fractional Relaxation of Distributed Order -- 1. Introduction: statement of the problem and notations -- 2. Complete monotonicity of the basic solutions -- 3. Examples -- 4. Conclusions -- References -- Fractional Time: Dishomogenous Poisson Processes vs. Homogeneous Non-Poisson Processes -- 1. Time series with inverse-power-law waiting times -- 2. Modulation vs. renewal -- 3. Continuous-Time-Random-Walk approach to diffusion -- 4. Aging effects in renewal and modulation theories -- 5. Concluding remarks -- References -- Markov Memory in Multifractal Natural Processes -- 1. Introduction -- 2. Review of multifractal cascades -- 3. The first-order two-state Markov chain -- 4. Introducing memory in the evolution of the multiplicativev cascade -- 5. Discussion -- Acknowledgments -- References -- Description of Complex Systems in Terms of Self-Organization Processes of Prime Integer Relations -- 1. Introduction -- 2. Invariant Quantities of a Complex System and Correlations -- 3. The Conserving Correlations as Linear Equations -- 4. Self-Organization Processes of Prime Integer Relations and Correlation Structures of Complex Systems -- 5. Geometrization of the Self-Organization Processes and Fractals -- 6. Conclusions -- References.
Dynamical Decomposition of Multifractal Time Series as Fractal Evolution and Long-Term Cycles: Applications to Foreign Currency Exchange Market -- 1. Introduction -- 2. Reconstructible multifractals -- 3. Data. Performance of the reconstruction algorithm -- 4. Reduced series -- 5. Sources -- 6. Conclusions and future work -- Acknowledgments -- References -- Fractal Sets From Noninvertible Maps -- 1. Introduction -- 2. Box-within-a-box bifurcations structure of dim 1 noninvertible maps -- 3. Singularities and bifurcations specific to plane noninvertible maps -- 4. Plane maps with type A strange repeller -- 5. Fractal boundary with type C strange repeller -- 6. Class related to the complex dim 1 map and to the derived ones -- 7. Conclusion -- Acknowledgments -- References -- A Generative Construction and Visualization of 3D Fractal Measures -- 1. Introduction -- 2. Preliminaries -- 3. Constructing measures on IFS fractals -- 4. Measure instancing technique -- 5. Volume rendering 3D measures -- 6. Results -- Acknowledgments -- References -- Complexity in Nature and Society: Complexity Management in the Age of Globalization -- 1. From Linear to Nonlinear Dynamics -- 2. Complexity and Nonlinear Dynamics of Evolution and Brains -- 3. Complexity and Nonlinear Dynamics of Economies and Finance -- 4. Complexity and Nonlinear Dynamics of Globalization and Management -- 5. Complexity and Nonlinear Dynamics of Computational and Information Systems -- 6. What can we learn from Nonlinear Dynamics of Complex Systems? -- References -- Fractals Complexity and Chaos in Supply Chain Networks -- 1. Introduction -- 2. The Newsvendor Optimisation Problem -- 3. Extension to the Complete Network -- 4. Self Similarity -- 5. Chaos -- 6. Feedback Mechanisms -- 7. Fractal Geometry -- 8. Illustrative Example -- 9. Conclusion -- Acknowledgements -- References.
The Effects of Different Competition Rules on the Power-Law Exponent of High Income Distributions -- 1. Introduction -- 2. Model and Simulation -- 3. Mathematical Analysis -- References -- Synergetics on its Way to the Life Sciences -- 1. Synergetics: Its General Frame -- 2. An Application to Psychophysics: Ambiguous Figures -- 3. Decision Making as Pattern Recognition -- 4. Health Care: Applications to Medicine and Psychology -- 5. Synergetics in Management -- 6. Outlook -- References -- Complexity Fractals Nature and Industrial Design: Some Connections -- 1. Introduction -- 2. Complex Components In The Industrial Design Objects -- 3. Fractal Components In The Industrial Design Objects -- 4. Conclusions -- References -- Modelling Pattern Formation Upon Laser-Induced Etching -- 1. Introduction -- 2. The laser-induced jet-chemical etching technique -- 3. The discrete stochastic solid-on-solid model -- 4. The continuous Langevin equation -- 5. Extension to two spatial dimensions and Finite Element simulations -- 6. Conclusions -- References -- Fractal Properties of Some Machined Surfaces -- 1. Introduction -- 2. Derivation of fractal parameters -- 3. Results and discussion -- 4. Conclusions -- References -- Fractals Morphological Spectrum and Complexity of Interfacial Patterns in Non-Equilibrium Solidification -- 1. Introduction -- 2. The model -- 3. Morphological spectrum -- 4. Fractals in crystal growth -- 5. Complexity in crystal growth -- 6. Conclusions -- Competition of Doublon Structure in the Phase-Field Model -- 1. Introduction -- 2. Model equation -- 3. Simulation -- 4. Result and discussion -- 5. Summary -- Appendix -- Reference -- Study of Thermal Field in Composite Materials -- 1. Introduction -- 2. Model calculations -- 3. Experimental -- 4. Results -- Conclusion -- Acknowledgments -- References.
Simulation of Geochemical Banding in Acidization-Precipitation Experiments In-Situ -- 1. Introduction -- 2. The Experiment -- 3. Theoretical Modeling -- Acknowledgments -- References -- Bulk Mediated Surface Diffusion: Non Markovian and Biased Behavior -- Acknowledgments -- References -- Multifractal Formalism for Remote Sensing: A Contribution to the Description and the Understanding of Meteorological Phenomena in Satellite Images -- 1. Introduction -- 2. Multifractality help to decipher complex image patterns -- 3. Multifractal sources provide relevant motion information -- 4. Validation and comparison with temporal information -- 5. Conclusion -- References -- The Distance Ratio Fractal Image -- 1. Introduction -- 2. Basic Concepts -- 3. Distance Ratio and its Iteration -- 4. Distance Ratio Fractal Image of Quadratic Map -- 5. The Properties of Distance Ratio Fractal -- 6. Conclusion and Future Works -- References -- Iterated Function Systems in Mixed Euclidean and p-adic Spaces -- 1. Introduction and Setting -- 2. p-adic Spaces and their Visualisation -- 3. Haar and Hausdorff Measures -- 4. Graph-Directed Iterated Function Systems -- 5. An Example -- Acknowledgments -- References -- Multifractality of the Multiplicative Autoregressive Point Processes -- 1. Introduction -- 2. Stochastic multiplicative point process -- 3. Conclusions -- Acknowledgments -- References -- Analysis of Geographical Distribution Patterns in Plants Using Fractals -- 1. Introduction -- 2. Material and Methods -- 3. Results -- 4. Discussion -- Appendix -- References -- Hierarchy of Cellular Automata in Relation to Control of Chaos or Anticontrol -- 1. Introduction -- 2. Algorithm -- 3. Results and discussion -- 4. Conclusion -- Acknowledgements -- References.
Fractal Analysis of the Images Using Wavelet Transformation -- 1. Introduction -- 2. Box counting method -- 3. Wavelet method -- 4. Algorithm of fractal parameters calculation using the Haar transformation -- 5. Analysis of three-dimensional structures -- 6. Conclusion -- Literature -- Clustering Phenomena in the Time Distribution of Lightning -- 1. Introduction -- 2. Lightning Data -- 3. Allan Factor Analysis -- 4. Results -- 5. Conclusions -- Acknowledgments -- References -- A Cornucopia of Connections: Finding Four Familiar Fractals in the Tower of Hanoi -- 1. The Towers of Hanoi -- 2. The Tower of Hanoi and Sierpinski's Gasket -- 3. The Dragon Curve -- 4. Cantor Dust and the Dragon Curve -- 5. The Von Koch Curve -- 6. Conclusion -- References -- Monitoring the Depth of Anaesthesia Using Fractal Complexity Method -- 1. Material and methods -- 2. Results -- 3. Conclusions -- Appendix 1 -- Appendix 2 -- References -- The Complex Couplings and Gompertzian Dynamics -- Reference -- Author Index.
Özet:
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 et al.); Modelling Fractal Dynamics (B J West); Fractional Relaxation of Distributed Order (R Gorenflo & F Mainardi); Fractional Time: Dishomogeneous Poisson Processes vs. Homogeneous Non-Poisson Processes (P Allegrini et al.); Markov Memory in Multifractal Natural Processes (N Papasimakis & F Pallikari); Description of Complex Systems in Terms of Self-Organization Processes of Prime Integer Relations (V Korotkikh & G Korotkikh); Dynamical Decomposition of Multifractal Time Series as Fractal Evolution and Long-Term Cycles: Applications to Foreign Currency
Exchange Market (A Turiel & C Perez-Vicente); Fractal Sets from Noninvertible Maps (Ch Mira); A Generative Construction and Visualization of 3D Fractal Measures (T Martyn); Complexity in Nature and Society: Complexity Management in the Age of Globalization (K Mainzer); Fractals, Complexity and Chaos in Supply Chain Networks (M Pearson); The Effects of Different Competition Rules on the Power-Law Exponent of High Income Distribution (K Yamamoto et al.); Synergetics on Its Way to the Life Sciences (H Haken); Complexity, Fractals, Nature and Industrial Design: Some Connections (N Sala); Modelling Pattern Formation Upon Laser-Induced Etching (A Mora et al.); Fractal Properties of Some Machined Surfaces (T R Thomas & B-G Rosén); Fractals, Morphological Spectrum and Complexity of Interfacial Patterns in Non-Equilibrium Solidification (P K Galenko & D M Herlach); Competition of Doublon Structure in the Phase-Field Model (S Tokunaga & H Sakaguchi); Study of Thermal Field in Composite Materials (P Stefkova et al.); Simulation of Geochemical Banding in Acidization-Precipitation Experiments In Situ (M Msharrafieh et al.); Bulk Mediated Surface Diffusion: Non Markovian and Biased Behavior (J A Revelli et al); Multifractal Formalism for Remote Sensing: A Contribution to the Description and the Understanding of Meteorological Phenomena in Satellite Images (J Grazzini et al.); The Distance Ratio Fractal Image (X-Z Zhang et al.); Iterated Function Systems in Mixed Euclidean and p-Adic Spaces (B Sing); Multifractality of the Multiplicative Autogressive Point Processes (B Kaulakys et al.); Analysis of Geographical Distribution Patterns in Plants Using Fractals (A Bari et al.); Hierarchy of Cellular Automata in Relation to Control of Chaos or Anticontrol (M Markus et al.); Fractal Analysis of the Images Using Wavelet Transformation (P Jerabkova et al.); Clustering
Phenomena in the Time Distribution of Lightning (L Telesca et al.); A Cornucopia of Connections: Finding Four Familiar Fractals in the Tower of Hanoi (D R Camp); Monitoring the Depth of Anaesthesia Using Fractal Complexity Method (W Klonowski et al.); The Complex Couplings and Gompertzian Dynamics (P Waliszewski & J Konarski); Genome as a Fractal 2D Walk (A Loskutov); Generalization of the DLA-Process with Different Inmiscible Components by Time-Scale Roughening (A Loskutov). Readership: Academics in multidisciplinary research, primarily physics, mathematics, engineering, and life sciences.
Notlar:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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