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Fractals And Beyond Complexities In The Sciences


Fractals And Beyond Complexities In The Sciences
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Fractals And Beyond Complexities In The Sciences


Fractals And Beyond Complexities In The Sciences
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Author : Miroslav M Novak
language : en
Publisher: World Scientific
Release Date : 1998-08-25

Fractals And Beyond Complexities In The Sciences written by Miroslav M Novak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-25 with categories.


One of the ways to understand the complexity in scientific disciplines is through the use of fractal geometry. Tremendous progress has been made in this field since its inception some two decades ago. This book collects the papers at the cutting-edge, reflecting the current status of fractals. With its special emphasis on the multidisciplinary research, the book represents a unique contribution to the understanding of the complex phenomena in nature.



Paradigms Of Complexity Fractals And Structures In The Sciences


Paradigms Of Complexity Fractals And Structures In The Sciences
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Author : Miroslav M Novak
language : en
Publisher: World Scientific
Release Date : 2000-04-18

Paradigms Of Complexity Fractals And Structures In The Sciences written by Miroslav M Novak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-18 with categories.


Every reader will find something of interest in this book — from superdiffusion of the ocean surface to fetal heartbeats, from solar wind to the wearing-out of tools, from radioactive contamination to texture analysis, from image rendering to neural developments. The all-pervading link connecting these disparate disciplines is the realization that a linear approach to the majority of natural processes is at best only an approximation that can frequently be downright misleading. Consequently, the rise of what is broadly called the theory of complexity has gained tremendous momentum in the last decade or two. This modern approach aims at, and frequently succeeds in, correctly explaining many natural processes.The papers in this volume are based on presentations of the sixth international conference exploring the above-mentioned issues. These conferences are now regular and well established among the nonlinear series of conferences. This conference series is organized in different geographical regions, to encourage international collaboration. Among the distinguishing features of the series is its multidisciplinary nature, which has been growing steadily.



Fractals Theory And Applications In Engineering


Fractals Theory And Applications In Engineering
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Author : Michel Dekking
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fractals Theory And Applications In Engineering written by Michel Dekking and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


Owing to the rapid emergence and growth of techniques in the engineering application of fractals, it has become necessary to gather the most recent advances on a regular basis. This book is a continuation of the first volume - published in 1997 - but contains interesting developments. A major point is that mathematics has become more and more involved in the definition and use of fractal models. It seems that the time of the qualitative observation of fractal phenomena has gone. Now the main models are strongly based upon theoretical arguments. Fractals: Theory and Applications in Engineering is a multidisciplinary book which should interest every scientist working in areas connected to fractals.



Mathematics Of Complexity And Dynamical Systems


Mathematics Of Complexity And Dynamical Systems
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Author : Robert A. Meyers
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-05

Mathematics Of Complexity And Dynamical Systems written by Robert A. Meyers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-05 with Mathematics categories.


Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.



Fractals In Engineering


Fractals In Engineering
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Author : Jacques Lévy-Véhel
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-06

Fractals In Engineering written by Jacques Lévy-Véhel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-06 with Technology & Engineering categories.


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).



Scaling Fractals And Wavelets


Scaling Fractals And Wavelets
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Author : Patrice Abry
language : en
Publisher: John Wiley & Sons
Release Date : 2013-03-01

Scaling Fractals And Wavelets written by Patrice Abry and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-01 with Mathematics categories.


Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling — self-similarity, long-range dependence and multi-fractals — are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.



Complexity Science Living Systems And Reflexing Interfaces New Models And Perspectives


Complexity Science Living Systems And Reflexing Interfaces New Models And Perspectives
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Author : Orsucci, Franco
language : en
Publisher: IGI Global
Release Date : 2012-09-30

Complexity Science Living Systems And Reflexing Interfaces New Models And Perspectives written by Orsucci, Franco and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-30 with Computers categories.


There are new and important advancements in today’s complexity theories in ICT and requires an extraordinary perspective on the interaction between living systems and information technologies. With human evolution and its continuous link with the development of new tools and environmental changes, technological advancements are paving the way for new evolutionary steps. Complexity Science, Living Systems, and Reflexing Interfaces: New Models and Perspectives is a collection of research provided by academics and scholars aiming to introduce important advancements in areas such as artificial intelligence, evolutionary computation, neural networks, and much more. This scholarly piece will provide contributions that will define the line of development in complexity science.



Nonlinear Universe Unveiling Complexity In Nature And Beyond


Nonlinear Universe Unveiling Complexity In Nature And Beyond
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-15

Nonlinear Universe Unveiling Complexity In Nature And Beyond written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-15 with Science categories.


In "Nonlinear Universe: Unveiling Complexity in Nature and Beyond," readers are taken on a captivating journey through the realm of nonlinear phenomena, exploring their profound implications across diverse fields of science and beyond. This book offers a comprehensive and accessible introduction to the intricate world of nonlinearity, providing a fresh perspective on familiar concepts and opening up new avenues for exploration and understanding. Nonlinearity, the departure from linearity in the relationship between input and output, gives rise to a mesmerizing array of complex and intriguing behaviors, including chaos, fractals, and self-organization. Nonlinear systems exhibit a remarkable sensitivity to initial conditions, often leading to unpredictable and counterintuitive outcomes. This book delves into these concepts, explaining them in a clear and engaging manner, making them accessible to readers from all backgrounds. Through a blend of theoretical explanations, real-world examples, and captivating illustrations, "Nonlinear Universe" illuminates the intricate workings of nonlinearity in various scientific disciplines. From the chaotic dynamics of weather patterns to the intricate interactions of social networks, this book showcases the ubiquity and diversity of nonlinear phenomena. With its comprehensive coverage, engaging writing style, and thought-provoking insights, "Nonlinear Universe" is an invaluable resource for students, researchers, and anyone fascinated by the complexities of nature. It is an invitation to explore the frontiers of science and discover the hidden connections that shape our world. This book offers a unique perspective on nonlinearity, highlighting its profound implications for our understanding of the universe. It provides a deeper appreciation for the intricate beauty and complexity of the world around us, revealing the underlying patterns and connections that govern its behavior. "Nonlinear Universe" is a must-read for anyone seeking to expand their knowledge of nonlinear science and its far-reaching applications. It is a captivating exploration of the nonlinear universe, unlocking its mysteries and inspiring readers to see the world in a new light. If you like this book, write a review!



Fractals In Soil Science


Fractals In Soil Science
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Author : Y. Pachepsky
language : en
Publisher: Elsevier
Release Date : 2000-07-19

Fractals In Soil Science written by Y. Pachepsky and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-19 with Science categories.


This book presents the state-of-the-art after fifteen years of exponentially growing applications of fractal geometry in soil science. It demonstrates the wide-ranging applicability of fractal models in soil science and indicates new opportunities to integrate processes in soils within or across scales using fractals. Contributed by some of the pioneers in the field, chapters represent a broad spectrum of applications from geochemistry to microbiology and from scales of micrometers to the landscape, and serve as an introduction to the subject.Topics include fractal aspects of soil structure, porosity and texture, scaling in preferential and hydraulic conductivity, anoxic volumes and adsorption in fractal models of soil, characterization of the pore surface irregularity, fractal properties of soil organic matter, fractal concepts in studies of soil fauna and mycelium in soils, and fractal analysis of spatial and temporal variability in soil properties and crop yields. A wide spectrum of methods for identifying and measuring fractal properties is introduced and critically discussed. Although the book focussed on solving problems in soil science, the applications and the fractal approach used share much in common with many other fields within and outside of the earth sciences. A unique bibliography on fractals in soils science is included.



Visual Explorations Unlocking The Beauty And Complexity Of Fractals


Visual Explorations Unlocking The Beauty And Complexity Of Fractals
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-22

Visual Explorations Unlocking The Beauty And Complexity Of Fractals written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-22 with Mathematics categories.


Embark on an enthralling journey into the captivating world of fractals, where intricate patterns and mesmerizing forms reveal the profound interconnectedness of nature, art, and science. This comprehensive guide unveils the secrets of fractal geometry, delving into the mathematical principles that govern these seemingly complex structures. Discover the elegance of self-similarity, where patterns repeat themselves across scales, creating an infinite tapestry of detail. Explore the diverse manifestations of fractals in the natural world, from the branching patterns of ferns to the swirling eddies of water, from the delicate tracery of snowflakes to the vastness of galaxies. Witness the beauty of fractal art and music, and gain insights into the applications of fractals in computer graphics, engineering, biology, and medicine. Beyond their scientific and artistic significance, fractals also hold deep philosophical implications. Question your notions of order and chaos, finitude and infinity, as you contemplate the intricate dance of mathematics and nature. Discover how fractals challenge our understanding of reality and offer a glimpse into the interconnectedness of all things. Written in an engaging and accessible style, **Visual Explorations: Unlocking the Beauty and Complexity of Fractals** is an invitation to expand your horizons and see the world in a new light. Whether you are a scientist, an artist, a philosopher, or simply a curious mind seeking to unravel the mysteries of the universe, this book promises an extraordinary journey into the heart of complexity. If you like this book, write a review!