Fractal and Trans scale Nature of Entropy Book

Fractal and Trans scale Nature of Entropy


  • Author : Diogo Queiros Conde
  • Publisher : Elsevier
  • Release Date : 2018-11-16
  • Genre: Science
  • Pages : 252
  • ISBN 10 : 9780081017906

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Fractal and Trans scale Nature of Entropy Excerpt :

Fractal and Trans-scale Nature of Entropy: Towards a Geometrization of Thermodynamics develops a new vision for entropy in thermodynamics by proposing a new method to geometrize. It investigates how this approach can accommodate a large number of very different physical systems, going from combustion and turbulence towards cosmology. As an example, a simple interpretation of the Hawking entropy in black-hole physics is provided. In the life sciences, entropy appears as the driving element for the organization of systems. This book demonstrates this fact using simple pedagogical tools, thus showing that entropy cannot be interpreted as a basic measure of disorder. Develop a new vision of entropy in thermodynamics Study the concept of entropy Propose a simple interpretation the entropy of Hawking Demonstrate entropy as a measure of energy dispersal

Fractal and Trans scale Nature of Entropy Book

Fractal and Trans scale Nature of Entropy


  • Author : Diogo Queiros Conde
  • Publisher : Iste Press - Elsevier
  • Release Date : 2018-09
  • Genre: Uncategoriezed
  • Pages : 150
  • ISBN 10 : 1785481932

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Fractal and Trans scale Nature of Entropy Excerpt :

Fractal and Trans-scale Nature of Entropy: Towards a Geometrization of Thermodynamics develops a new vision for entropy in thermodynamics by proposing a new method to geometrize. It investigates how this approach can accommodate a large number of very different physical systems, going from combustion and turbulence towards cosmology. As an example, a simple interpretation of the Hawking entropy in black-hole physics is provided. In the life sciences, entropy appears as the driving element for the organization of systems. This book demonstrates this fact using simple pedagogical tools, thus showing that entropy cannot be interpreted as a basic measure of disorder. Presents the strong link between geometry and thermodynamics Offers an original understanding of entropy Explains how to visualize phenomena where thermodynamics and entropy are important in the optimization of thermal machines Explores entropy in thermodynamics through fractal geometry and trans-scale geometries

Self Organization as a New Paradigm in Evolutionary Biology Book

Self Organization as a New Paradigm in Evolutionary Biology


  • Author : Anne Dambricourt Malassé
  • Publisher : Springer Nature
  • Release Date : 2022-08-05
  • Genre: Science
  • Pages : 393
  • ISBN 10 : 9783031047831

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Self Organization as a New Paradigm in Evolutionary Biology Excerpt :

The epistemological synthesis of the various theories of evolution, since the first formulation in 1802 with the transmission of the inherited characters by J.B. Lamarck, shows the need for an alternative synthesis to that of Princeton (1947). This new synthesis integrates the scientific models of self-organization developed during the second half of the 20th century based on the laws of physics, thermodynamics, and mathematics with the emergent evolutionary problematics such as self-organized memory. This book shows, how self-organization is integrated in modern evolutionary biology. It is divided in two parts: The first part pays attention to the modern observations in paleontology and biology, which include major theoreticians of the self-organization (d’Arcy Thompson, Henri Bergson, René Thom, Ilya Prigogine). The second part presents different emergent evolutionary models including the sciences of complexity, the non-linear dynamical systems, fractals, attractors, epigenesis, systemics, and mesology with different examples of the sciences of complexity and self-organization as observed in the human lineage, from both internal (embryogenesis-morphogenesis) and external (mesology) viewpoints.

12th Chaotic Modeling and Simulation International Conference Book

12th Chaotic Modeling and Simulation International Conference


  • Author : Christos H. Skiadas
  • Publisher : Springer Nature
  • Release Date : 2020-02-07
  • Genre: Science
  • Pages : 306
  • ISBN 10 : 9783030395155

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12th Chaotic Modeling and Simulation International Conference Excerpt :

Gathering the proceedings of the 12th CHAOS2019 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.

Machine Learning and Intelligent Communications Book

Machine Learning and Intelligent Communications


  • Author : Xiaolin Jiang
  • Publisher : Springer Nature
  • Release Date : 2022-05-17
  • Genre: Computers
  • Pages : 352
  • ISBN 10 : 9783031044090

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Machine Learning and Intelligent Communications Excerpt :

This volume constitutes the refereed post-conference proceedings of the 6th International Conference on Machine Learning and Intelligent Communications, MLICOM 2021, held in November 2021. Due to COVID-19 pandemic the conference was held virtually. The 28 revised full papers were carefully selected from 58 submissions. The papers are organized thematically in tracks as follows: internet of vehicle communication system; applications of neural network and deep learning; intelligent massive MIMO communications; intelligent positioning and navigation systems; intelligent space and terrestrial integrated networks; machine learning algorithms and intelligent networks; image information processing.

Fractal Dimensions of Networks Book

Fractal Dimensions of Networks


  • Author : Eric Rosenberg
  • Publisher : Springer Nature
  • Release Date : 2020-07-07
  • Genre: Computers
  • Pages : 524
  • ISBN 10 : 9783030431693

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Fractal Dimensions of Networks Excerpt :

Current interest in fractal dimensions of networks is the result of more than a century of previous research on dimensions. Fractal Dimensions of Networks ties the theory and methods for computing fractal dimensions of networks to the “classic” theory of dimensions of geometric objects. The goal of the book is to provide a unified treatment of fractal dimensions of sets and networks. Since almost all of the major concepts in fractal dimensions originated in the study of sets, the book achieves this goal by first clearly presenting, with an abundance of examples and illustrations, the theory and algorithms for sets, and then showing how the theory and algorithms have been applied to networks. Thus, the book presents the classical theory and algorithms for the box counting dimension for sets, and then presents the box counting dimension for networks. All the major fractal dimensions are studied, e.g., the correlation dimension, the information dimension, the Hausdorff dimension, the multifractal spectrum, as well as many lesser known dimensions. Algorithm descriptions are accompanied by worked examples, many applications of the methods are presented, and many exercises, ranging in difficulty from easy to research level, are included.

Beyond the Second Law Book

Beyond the Second Law


  • Author : Roderick C. Dewar
  • Publisher : Springer
  • Release Date : 2013-12-02
  • Genre: Technology & Engineering
  • Pages : 434
  • ISBN 10 : 9783642401541

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Beyond the Second Law Excerpt :

The Second Law, a cornerstone of thermodynamics, governs the average direction of dissipative, non-equilibrium processes. But it says nothing about their actual rates or the probability of fluctuations about the average. This interdisciplinary book, written and peer-reviewed by international experts, presents recent advances in the search for new non-equilibrium principles beyond the Second Law, and their applications to a wide range of systems across physics, chemistry and biology. Beyond The Second Law brings together traditionally isolated areas of non-equilibrium research and highlights potentially fruitful connections between them, with entropy production playing the unifying role. Key theoretical concepts include the Maximum Entropy Production principle, the Fluctuation Theorem, and the Maximum Entropy method of statistical inference. Applications of these principles are illustrated in such diverse fields as climatology, cosmology, crystal growth morphology, Earth system science, environmental physics, evolutionary biology and technology, fluid turbulence, microbial biogeochemistry, plasma physics, and radiative transport, using a wide variety of analytical and experimental techniques. Beyond The Second Law will appeal to students and researchers wishing to gain an understanding of entropy production and its central place in the science of non-equilibrium systems – both in detail and in terms of the bigger picture.

Recent Trends in the Condition Monitoring of Transformers Book

Recent Trends in the Condition Monitoring of Transformers


  • Author : Sivaji Chakravorti
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-10-21
  • Genre: Business & Economics
  • Pages : 280
  • ISBN 10 : 9781447155508

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Recent Trends in the Condition Monitoring of Transformers Excerpt :

Recent Trends in the Condition Monitoring of Transformers reflects the current interest in replacing traditional techniques used in power transformer condition monitoring with non-invasive measures such as polarization/depolarization current measurement, recovery voltage measurement, frequency domain spectroscopy and frequency response analysis. The book stresses the importance of scrutinizing the condition of transformer insulation which may fail under present day conditions of intensive use with the resulting degradation of dielectric properties causing functional failure of the transformer. The text shows the reader how to overcome the key challenges facing today’s maintenance policies, namely: The selection of appropriate techniques for dealing with each type of failure process accounting for the needs of plant owners, plant users and wider society; and Cost-efficiency and durability of effect. Many of the failure-management methods presented rely on the fact that most failures give warning when they are imminent. These potential failures give rise to identifiable physical conditions and the novel approaches described detect them so that action can be taken to avoid degeneration into full-blown functional failure. This “on-condition” maintenance means that equipment can be left in service as long as a specified set of performance standards continue to be met, avoiding the costly downtime imposed by routine and perhaps unnecessary maintenance but without risking equally expensive failure. Recent Trends in the Condition Monitoring of Transformers will be of considerable interest to both academic researchers in power systems and to engineers working in the power generation and distribution industry showing how new and more efficient methods of fault diagnosis and condition management can increase transformer efficiency and cut costs.

Nonlinear Analysis in Neuroscience and Behavioral Research Book

Nonlinear Analysis in Neuroscience and Behavioral Research


  • Author : Tobias A. Mattei
  • Publisher : Frontiers Media SA
  • Release Date : 2016-10-31
  • Genre: Neurosciences. Biological psychiatry. Neuropsychiatry
  • Pages : 273
  • ISBN 10 : 9782889199969

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Nonlinear Analysis in Neuroscience and Behavioral Research Excerpt :

Although nonlinear dynamics have been mastered by physicists and mathematicians for a long time (as most physical systems are inherently nonlinear in nature), the recent successful application of nonlinear methods to modeling and predicting several evolutionary, ecological, physiological, and biochemical processes has generated great interest and enthusiasm among researchers in computational neuroscience and cognitive psychology. Additionally, in the last years it has been demonstrated that nonlinear analysis can be successfully used to model not only basic cellular and molecular data but also complex cognitive processes and behavioral interactions. The theoretical features of nonlinear systems (such unstable periodic orbits, period-doubling bifurcations and phase space dynamics) have already been successfully applied by several research groups to analyze the behavior of a variety of neuronal and cognitive processes. Additionally the concept of strange attractors has lead to a new understanding of information processing which considers higher cognitive functions (such as language, attention, memory and decision making) as complex systems emerging from the dynamic interaction between parallel streams of information flowing between highly interconnected neuronal clusters organized in a widely distributed circuit and modulated by key central nodes. Furthermore, the paradigm of self-organization derived from the nonlinear dynamics theory has offered an interesting account of the phenomenon of emergence of new complex cognitive structures from random and non-deterministic patterns, similarly to what has been previously observed in nonlinear studies of fluid dynamics. Finally, the challenges of coupling massive amount of data related to brain function generated from new research fields in experimental neuroscience (such as magnetoencephalography, optogenetics and single-cell intra-operative recordings of neuronal activity) have generated the necessity of new research stra

Fractal Geometry and Stochastics Book

Fractal Geometry and Stochastics


  • Author : Christoph Bandt
  • Publisher : Birkhäuser
  • Release Date : 2013-11-27
  • Genre: Mathematics
  • Pages : 248
  • ISBN 10 : 9783034877558

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Fractal Geometry and Stochastics Excerpt :

Fractal geometry is a new and promising field for researchers from different disciplines such as mathematics, physics, chemistry, biology and medicine. It is used to model complicated natural and technical phenomena. The most convincing models contain an element of randomness so that the combination of fractal geometry and stochastics arises in between these two fields. It contains contributions by outstanding mathematicians and is meant to highlight the principal directions of research in the area. The contributors were the main speakers attending the conference "Fractal Geometry and Stochastics" held at Finsterbergen, Germany, in June 1994. This was the first international conference ever to be held on the topic. The book is addressed to mathematicians and other scientists who are interested in the mathematical theory concerning: • Fractal sets and measures • Iterated function systems • Random fractals • Fractals and dynamical systems, and • Harmonic analysis on fractals. The reader will be introduced to the most recent results in these subjects. Researchers and graduate students alike will benefit from the clear expositions.

Fractal and Multifractal Facets in the Structure and Dynamics of Physiological Systems and Applications to Homeostatic Control  Disease Diagnosis and Integrated Cyber Physical Platforms Book

Fractal and Multifractal Facets in the Structure and Dynamics of Physiological Systems and Applications to Homeostatic Control Disease Diagnosis and Integrated Cyber Physical Platforms


  • Author : Paul Bogdan
  • Publisher : Frontiers Media SA
  • Release Date : 2020-06-25
  • Genre: Uncategoriezed
  • Pages : 180
  • ISBN 10 : 9782889635313

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Fractal and Multifractal Facets in the Structure and Dynamics of Physiological Systems and Applications to Homeostatic Control Disease Diagnosis and Integrated Cyber Physical Platforms Excerpt :

Widespread chronic diseases (e.g., heart diseases, diabetes and its complications, stroke, cancer, brain diseases) constitute a significant cause of rising healthcare costs and pose a significant burden on quality-of-life for many individuals. Despite the increased need for smart healthcare sensing systems that monitor / measure patients’ body balance, there is no coherent theory that facilitates the modeling of human physiological processes and the design and optimization of future healthcare cyber-physical systems (HCPS). The HCPS are expected to mine the patient’s physiological state based on available continuous sensing, quantify risk indices corresponding to the onset of abnormality, signal the need for critical medical intervention in real-time by communicating patient’s medical information via a network from individual to hospital, and most importantly control (actuate) vital health signals (e.g., cardiac pacing, insulin level, blood pressure) within personalized homeostasis. To prevent health complications, maintain good health and/or avoid fatal conditions calls for a cross-disciplinary approach to HCPS design where recent statistical-physics inspired discoveries done by collaborations between physicists and physicians are shared and enriched by applied mathematicians, control theorists and bioengineers. This critical and urgent multi-disciplinary approach has to unify the current state of knowledge and address the following fundamental challenges: One fundamental challenge is represented by the need to mine and understand the complexity of the structure and dynamics of the physiological systems in healthy homeostasis and associated with a disease (such as diabetes). Along the same lines, we need rigorous mathematical techniques for identifying the interactions between integrated physiologic systems and understanding their role within the overall networking architecture of healthy dynamics. Another fundamental challenge calls for a deeper understandin

Multi Chaos  Fractal and Multi Fractional Artificial Intelligence of Different Complex Systems Book

Multi Chaos Fractal and Multi Fractional Artificial Intelligence of Different Complex Systems


  • Author : Yeliz Karaca
  • Publisher : Academic Press
  • Release Date : 2022-07-01
  • Genre: Science
  • Pages : 350
  • ISBN 10 : 9780323886161

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Multi Chaos Fractal and Multi Fractional Artificial Intelligence of Different Complex Systems Excerpt :

Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems addresses different uncertain processes inherent in the complex systems, attempting to provide global and robust optimized solutions distinctively through multifarious methods, technical analyses, modeling, optimization processes, numerical simulations, case studies as well as applications including theoretical aspects of complexity. Foregrounding Multi-chaos, Fractal and Multi-fractional in the era of Artificial Intelligence (AI), the edited book deals with multi- chaos, fractal, multifractional, fractional calculus, fractional operators, quantum, wavelet, entropy-based applications, artificial intelligence, mathematics-informed and data driven processes aside from the means of modelling, and simulations for the solution of multifaceted problems characterized by nonlinearity, non-regularity and self-similarity, frequently encountered in different complex systems. The fundamental interacting components underlying complexity, complexity thinking, processes and theory along with computational processes and technologies, with machine learning as the core component of AI demonstrate the enabling of complex data to augment some critical human skills. Appealing to an interdisciplinary network of scientists and researchers to disseminate the theory and application in medicine, neurology, mathematics, physics, biology, chemistry, information theory, engineering, computer science, social sciences and other far-reaching domains, the overarching aim is to empower out-of-the-box thinking through multifarious methods, directed towards paradoxical situations, uncertain processes, chaotic, transient and nonlinear dynamics of complex systems. Constructs and presents a multifarious approach for critical decision-making processes embodying paradoxes and uncertainty. Includes a combination of theory and applications with regard to multi-chaos, fractal and multi-fractional as well as AI of di

Fractal Analyses  Statistical And Methodological Innovations And Best Practices Book

Fractal Analyses Statistical And Methodological Innovations And Best Practices


  • Author : John G. Holden
  • Publisher : Frontiers E-books
  • Release Date : 2013-06-03
  • Genre: Uncategoriezed
  • Pages : 149
  • ISBN 10 : 9782889191383

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Fractal Analyses Statistical And Methodological Innovations And Best Practices Excerpt :

Many statistical and methodological developments regarding fractal analyses have appeared in the scientific literature since the publication of the seminal texts introducing Fractal Physiology. However, the lion’s share of more recent work is distributed across many outlets and disciplines, including aquatic sciences, biology, computer science, ecology, economics, geology, mathematics, medicine, neuroscience, physics, physiology, psychology, and others. The purpose of this special topic is to solicit submissions regarding fractal and nonlinear statistical techniques from experts that span a wide range of disciplines. The articles will aggregate extensive cross-discipline expertise into comprehensive and broadly applicable resources that will support the application of fractal methods to physiology and related disciplines. The articles will be organized with respect to a continuum defined by the characteristics of the empirical measurements a given analysis is intended to confront. At one end of the continuum are stochastic techniques directed at assessing scale invariant but stochastic data. The next step in the continuum concerns self-affine random fractals and methods directed at systems that entail scale-invariant or 1/f patterns or related patterns of temporal and spatial fluctuation. Analyses directed at (noisy) deterministic signals correspond to the final stage of the continuum that relates the statistical treatments of nonlinear stochastic and deterministic signals. Each section will contain introductory articles, advanced articles, and application articles so readers with any level of expertise with fractal methods will find the special topic accessible and useful. Example stochastic methods include probability density estimation for the inverse power-law, the lognormal, and related distributions. Articles describing statistical issues and tools for discriminating different classes of distributions will be included. An example issue is distinguishing powe

Fractals and Multifractals in Ecology and Aquatic Science Book

Fractals and Multifractals in Ecology and Aquatic Science


  • Author : Laurent Seuront
  • Publisher : CRC Press
  • Release Date : 2009-10-12
  • Genre: Nature
  • Pages : 360
  • ISBN 10 : 1420004247

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Fractals and Multifractals in Ecology and Aquatic Science Excerpt :

Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet research within this broad field is becoming increasingly mathematical. Written in a step-by-step fashion, Fractals and Multifractals in Ecology and Aquatic Science provides scientists with a basic understanding of fractals and multifractals and the techniques for utilizing them when analyzing ecological phenomenon. With illustrations, tables, and graphs on virtually every page – several in color – this book is a comprehensive source of state-of-the-art ecological scaling and multiscaling methods at temporal and spatial scales, respectfully ranging from seconds to months and from millimeters to thousands of kilometers. It illustrates most of the data analysis techniques with real case studies often based on original findings. It also incorporates descriptions of current and new numerical techniques to analyze and deepen understanding of ecological situations and their solutions. Includes a Wealth of Applications and Examples This book also includes nonlinear analysis techniques and the application of concepts from chaos theory to problems of spatial and temporal patterns in ecological systems. Unlike other books on the subject, Fractals and Multifractals in Ecology and Aquatic Science is readily accessible to researchers in a variety of fields, such as microbiology, biology, ecology, hydrology, geology, oceanography, social sciences, and finance, regardless of their mathematical backgrounds. This volume demystifies the mathematical methods, many of which are often regarded as too complex, and allows the reader to access new and promising concepts, procedures, and related results.

Design in Nature Book
Score: 5
From 2 Ratings

Design in Nature


  • Author : Adrian Bejan
  • Publisher : Anchor
  • Release Date : 2012-01-24
  • Genre: Science
  • Pages : 288
  • ISBN 10 : 9780385534628

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Design in Nature Excerpt :

In this groundbreaking book, Adrian Bejan takes the recurring patterns in nature—trees, tributaries, air passages, neural networks, and lightning bolts—and reveals how a single principle of physics, the Constructal Law, accounts for the evolution of these and all other designs in our world. Everything—from biological life to inanimate systems—generates shape and structure and evolves in a sequence of ever-improving designs in order to facilitate flow. River basins, cardiovascular systems, and bolts of lightning are very efficient flow systems to move a current—of water, blood, or electricity. Likewise, the more complex architecture of animals evolve to cover greater distance per unit of useful energy, or increase their flow across the land. Such designs also appear in human organizations, like the hierarchical "flowcharts" or reporting structures in corporations and political bodies. All are governed by the same principle, known as the Constructal Law, and configure and reconfigure themselves over time to flow more efficiently. Written in an easy style that achieves clarity without sacrificing complexity, Design in Nature is a paradigm-shifting book that will fundamentally transform our understanding of the world around us.