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Interplay Of Fractals And Complexity In Mathematical Modelling And Physical Patterns
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Book Synopsis Interplay of Fractals and Complexity in Mathematical Modelling and Physical Patterns by : Santo Banerjee
Download or read book Interplay of Fractals and Complexity in Mathematical Modelling and Physical Patterns written by Santo Banerjee and published by Springer. This book was released on 2024-07-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected, peer-reviewed contributions from the International Symposium on Mathematical Analysis of Fractals and Dynamical Systems - 2023 (ISMAFDS - 2023), held at the Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu in India during August 24-25, 2023. It offers readers an array of captivating connections between fractal theory and nonlinear dynamics across various physics sub-domains and mathematical modeling. Fractal geometry has been developed to describe irregular natural objects that defy characterization using Euclidean geometry. Fractal techniques, such as fractal dimension and fractal functions, prove effective in mathematically modeling real-world phenomena and forecasting future consequences. The impact of fractal theory on physical sciences is widely recognized, as natural phenomena frequently exhibit fractal structures. These new concepts revolutionize our understanding of the large-scale properties of matter distribution in the universe. The book aims to familiarize readers with recent developments in common fractal patterns found in statistical physics, quantum physics, and plasma physics. Furthermore, it highlights the relationship between fractals and nonlinear dynamics through innovative approaches in mathematical modeling. This publication caters to professionals in mathematics, physics, and computer science, and also serves as a helpful resource for non-specialists seeking to comprehend fractal and nonlinear dynamics concepts. It offers valuable applications for researchers in both pure and applied backgrounds of physics and engineering.
Book Synopsis Fractal Physiology by : James B. Bassingthwaighte
Download or read book Fractal Physiology written by James B. Bassingthwaighte and published by Oxford University Press, USA. This book was released on 1994 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal Physiology shows how measures of the fractal properties and chaotic dynamics of cells, tissues, organs and organisms can be applied in a practical, quantitative way to studies of human physiology. The book describes in detail how to measure self-similar phenomena in order to characterize physiological phenomena such as regional blood flow variations irregularity in durations of ion channel openings and closings, and irregularities in other bioelectric signals, and how to distinguish a random signal from due to a low-order deterministic system.
Book Synopsis Thinking in Patterns by : Miroslav Michal Novak
Download or read book Thinking in Patterns written by Miroslav Michal Novak and published by World Scientific. This book was released on 2004 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors.This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics ? from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences
Book Synopsis Mathematical Modelling of Complex Patterns through Fractals and Dynamical Systems by : Gowrisankar Arulprakash
Download or read book Mathematical Modelling of Complex Patterns through Fractals and Dynamical Systems written by Gowrisankar Arulprakash and published by Springer. This book was released on 2024-09-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a wide range of interesting correlations beyond the domains of dynamical systems, complex systems, and fractal geometry. Exploring complex systems and their properties using the fractal approaches, this book provides initial solutions for new areas where fractal theory has yet to verify its expertise. Further, the book focusses on the latest scientific interest and illustrates general fractal theory in multidisciplinary areas such as computer science, electronics engineering, electrical engineering, bioengineering, biomedical, quantum physics and fluid dynamics research. This edited book is designed for professionals in the field of mathematics, computer science and physics, and even for non-specialists to help understand the concepts of fractals in nonlinear dynamical systems and complex systems while offering applications for researchers in the pure as well as in the applied background of science and engineering.
Book Synopsis Fractal Geometry and Stochastics IV by : Christoph Bandt
Download or read book Fractal Geometry and Stochastics IV written by Christoph Bandt and published by Springer Science & Business Media. This book was released on 2010-01-08 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developments in mathematical modeling of complicated structures. This process has been forced by problems in these areas related to applications in statistical physics, biomathematics and finance. This book is a collection of survey articles covering many of the most recent developments, like Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. The authors were the keynote speakers at the conference "Fractal Geometry and Stochastics IV" at Greifswald in September 2008.
Book Synopsis The Mathematics of Urban Morphology by : Luca D'Acci
Download or read book The Mathematics of Urban Morphology written by Luca D'Acci and published by Springer. This book was released on 2019-03-23 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume provides an essential resource for urban morphology, the study of urban forms and structures, offering a much-needed mathematical perspective. Experts on a variety of mathematical modeling techniques provide new insights into specific aspects of the field, such as street networks, sustainability, and urban growth. The chapters collected here make a clear case for the importance of tools and methods to understand, model, and simulate the formation and evolution of cities. The chapters cover a wide variety of topics in urban morphology, and are conveniently organized by their mathematical principles. The first part covers fractals and focuses on how self-similar structures sort themselves out through competition. This is followed by a section on cellular automata, and includes chapters exploring how they generate fractal forms. Networks are the focus of the third part, which includes street networks and other forms as well. Chapters that examine complexity and its relation to urban structures are in part four.The fifth part introduces a variety of other quantitative models that can be used to study urban morphology. In the book’s final section, a series of multidisciplinary commentaries offers readers new ways of looking at the relationship between mathematics and urban forms. Being the first book on this topic, Mathematics of Urban Morphology will be an invaluable resource for applied mathematicians and anyone studying urban morphology. Additionally, anyone who is interested in cities from the angle of economics, sociology, architecture, or geography will also find it useful. "This book provides a useful perspective on the state of the art with respect to urban morphology in general and mathematics as tools and frames to disentangle the ideas that pervade arguments about form and function in particular. There is much to absorb in the pages that follow and there are many pointers to ways in which these ideas can be linked to related theories of cities, urban design and urban policy analysis as well as new movements such as the role of computation in cities and the idea of the smart city. Much food for thought. Read on, digest, enjoy." From the foreword by Michael Batty
Book Synopsis Fractals in Engineering by : Jacques Lévy-Véhel
Download or read book Fractals in Engineering written by Jacques Lévy-Véhel and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of fractals in the engineering sciences is evolving swiftly and the editors have turned to Springer for the third time to bring you the latest research emerging from the rapid growth in techniques available for the employment of the ideas of fractals and complexity to a variety of disciplines in and associated with the engineering field. The strong potential of this research can be seen in real industrial situations with recent progress being made in areas such as chemical engineering, internet traffic, physics and finance. Image processing continues to be a major field of application for fractal analysis and is well-represented here. It is important to note that the applications models are presented with a firm basis in theoretical argument, the qualitative observation of fractal phenomena no longer being sufficient. Consisting of papers written by a world-wide pool of experts, the multidisciplinary approach of this third volume will be of particular interest to industrial researchers and practitioners as well as to academics from many backgrounds. Fractals in Engineering: New Trends in Theory and Applications continues the publication of engineering-related research in fractal techniques begun in Fractals in Engineering and Fractals: Theory and Applications in Engineering (Springer London 1997 and 1999).
Book Synopsis Complexus Mundi by : Miroslav Michal Novak
Download or read book Complexus Mundi written by Miroslav Michal Novak and published by World Scientific. This book was released on 2006 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fractals in Biology and Medicine by : Gabriele A. Losa
Download or read book Fractals in Biology and Medicine written by Gabriele A. Losa and published by Springer Science & Business Media. This book was released on 2005-08-18 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is number four in a series of proceedings volumes from the International Symposia on Fractals in Biology and Medicine in Ascona, Switzerland which have been inspired by the work of Benoît Mandelbrot seeking to extend the concepts towards the life sciences. It highlights the potential that fractal geometry offers for elucidating and explaining the complex make-up of cells, tissues and biological organisms either in normal or in pathological conditions.
Book Synopsis Fractal Geometry and Stochastics IV by : Christoph Bandt
Download or read book Fractal Geometry and Stochastics IV written by Christoph Bandt and published by Birkhäuser. This book was released on 2010-10-22 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developments in mathematical modeling of complicated structures. This process has been forced by problems in these areas related to applications in statistical physics, biomathematics and finance. This book is a collection of survey articles covering many of the most recent developments, like Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. The authors were the keynote speakers at the conference "Fractal Geometry and Stochastics IV" at Greifswald in September 2008.
Book Synopsis Fractals in the Physical Sciences by : Hideki Takayasu
Download or read book Fractals in the Physical Sciences written by Hideki Takayasu and published by Manchester University Press. This book was released on 1990 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Chaos and Fractals in Engineering by : Masao Nakagawa
Download or read book Chaos and Fractals in Engineering written by Masao Nakagawa and published by World Scientific. This book was released on 1999 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for all engineers, graduate students and beginners working in the application fields, and for experimental scientists in general. It is not presented as a purely theoretical treatise but shows mathematics at a workshop, so to speak, through important applications originating in a deep pure mathematical theory. Widely spread subjects which the author has encountered hitherto are briefly addressed in the book, as chaos and fractal science is a frontier of new research fields nowadays.
Book Synopsis Analysis, Probability and Mathematical Physics on Fractals by : Patricia Alonso Ruiz
Download or read book Analysis, Probability and Mathematical Physics on Fractals written by Patricia Alonso Ruiz and published by . This book was released on 2020 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related in the absence of Euclidean smooth structure? What new physical phenomena arise in the fractal-like settings that are ubiquitous in nature? This book introduces background and recent progress on these problems, from both established leaders in the field and early career researchers. The book gives a broad introduction to several foundational techniques in fractal mathematics, while also introducing some specific new and significant results of interest to experts, such as that waves have infinite propagation speed on fractals. It contains sufficient introductory material that it can be read by new researchers or researchers from other areas who want to learn about fractal methods and results"--Publisher's website.
Book Synopsis The Psyche as Interaction: Electromagnetic Patterns of Conscious Energy by : Manya J. Long
Download or read book The Psyche as Interaction: Electromagnetic Patterns of Conscious Energy written by Manya J. Long and published by Lulu.com. This book was released on 2014-06-13 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Psyche as Interaction begins as a journey to explain one person's paranormal experiences. Manya Long looks closely at the fields of mathematics, physics, psychology, music, religion, neurophysiology and parapsychology. Along the way she finds many things connecting each of these fields together. Her intention when she began was merely to answer questions about her own unique experiences. However, she quickly realized what she was looking at had the potential to change the way we all view the world. This book explains her journey, findings, and the conclusions she came to.
Book Synopsis Fractals in Geography by : Nina Siu Ngan Lam
Download or read book Fractals in Geography written by Nina Siu Ngan Lam and published by . This book was released on 2002-01-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: For professionals and graduate and advanced undergraduate students in geography, this book explains the basics of fractals, how to describe fractal phenomena, and how to make fractal patterns in the study and practice of physical and human geography, and the mapping sciences. Among the topics covered are interpreting the fractal dimension of river networks, fractal geometry and urban morphology and fractal terrain simulation.
Book Synopsis Introduction to Mathematical Modeling and Chaotic Dynamics by : Ranjit Kumar Upadhyay
Download or read book Introduction to Mathematical Modeling and Chaotic Dynamics written by Ranjit Kumar Upadhyay and published by CRC Press. This book was released on 2013-07-23 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical models in natural systems, particularly ecological systems. Most of the models presented are solved using MATLAB®. The book first covers the necessary mathematical preliminaries, including testing of stability. It then describes the modeling of systems from natural science, focusing on one- and two-dimensional continuous and discrete time models. Moving on to chaotic dynamics, the authors discuss ways to study chaos, types of chaos, and methods for detecting chaos. They also explore chaotic dynamics in single and multiple species systems. The text concludes with a brief discussion on models of mechanical systems and electronic circuits. Suitable for advanced undergraduate and graduate students, this book provides a practical understanding of how the models are used in current natural science and engineering applications. Along with a variety of exercises and solved examples, the text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.
Book Synopsis Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society by : IEEE Engineering in Medicine and Biology Society. Conference
Download or read book Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society written by IEEE Engineering in Medicine and Biology Society. Conference and published by . This book was released on 1991 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
