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Differentiability And Fractality In Dynamics Of Physical Systems
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Book Synopsis Differentiability And Fractality In Dynamics Of Physical Systems by : Ioan Merches
Download or read book Differentiability And Fractality In Dynamics Of Physical Systems written by Ioan Merches and published by World Scientific. This book was released on 2015-08-28 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed. Within such a frame, the Newtonian force as mass inertial interaction at the intragalactic scale, and the Hubble-type repulsive interaction at intergalactic distances, are developed.The wave-corpuscle duality implies movements on curves of constant informational energy, which implies both quantizations and dynamics of velocity limits.Analysis of motion of a charged particle in a combined field which is electromagnetic and with constant magnetism implies fractal trajectories. Mechanics of material points in a fractalic space is constructed, and various applications — fractal atom, potential well, free particle, etc. — are discussed.
Book Synopsis Advances in Epidemiological Modeling and Control of Viruses by : Hemen Dutta
Download or read book Advances in Epidemiological Modeling and Control of Viruses written by Hemen Dutta and published by Elsevier. This book was released on 2023-01-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Epidemiological Modeling and Control of Viruses covers recent and advanced research works in the field of epidemiological modeling, with special emphasis on new strategies to control the occurrence and reoccurrence of viruses. The models included in this book can be used to study the dynamics of different viruses, searching for control measures, and epidemic models under various effects and environments. This book covers different models and methods of modeling, including data-driven approaches. The authors and editors are experienced researchers, and each chapter has been designed to provide readers with leading-edge information on topics discussed. - Includes models to describe global and local dynamics of various viruses - Provides readers with control strategies for occurrence and reoccurrence of viruses - Includes epidemic models under various effects and environments - Provides readers with a robust set of mathematical tools and techniques for epidemiological modeling
Book Synopsis Atomicity through Fractal Measure Theory by : Alina Gavriluţ
Download or read book Atomicity through Fractal Measure Theory written by Alina Gavriluţ and published by Springer Nature. This book was released on 2019-11-02 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory. Applications to quantum physics and, more generally, to the fractal theory of the motion, are highlighted. The study details the atomicity problem through key concepts, such as the atom/pseudoatom, atomic/nonatomic measures, and different types of non-additive set-valued multifunctions. Additionally, applications of these concepts are brought to light in the study of the dynamics of complex systems. The first chapter prepares the basics for the next chapters. In the last chapter, applications of atomicity in quantum physics are developed and new concepts, such as the fractal atom are introduced. The mathematical perspective is presented first and the discussion moves on to connect measure theory and quantum physics through quantum measure theory. New avenues of research, such as fractal/multifractal measure theory with potential applications in life sciences, are opened.
Book Synopsis The Mathematical Principles of Scale Relativity Physics by : Nicolae Mazilu
Download or read book The Mathematical Principles of Scale Relativity Physics written by Nicolae Mazilu and published by CRC Press. This book was released on 2019-09-24 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Principles of Scale Relativity Physics: The Concept of Interpretation explores and builds upon the principles of Laurent Nottale’s scale relativity. The authors address a variety of problems encountered by researchers studying the dynamics of physical systems. It explores Madelung fluid from a wave mechanics point of view, showing that confinement and asymptotic freedom are the fundamental laws of modern natural philosophy. It then probes Nottale’s scale transition description, offering a sound mathematical principle based on continuous group theory. The book provides a comprehensive overview of the matter to the reader via a generalization of relativity, a theory of colors, and classical electrodynamics. Key Features: Develops the concept of scale relativity interpreted according to its initial definition enticed by the birth of wave and quantum mechanics Provides the fundamental equations necessary for interpretation of matter, describing the ensembles of free particles according to the concepts of confinement and asymptotic freedom Establishes a natural connection between the Newtonian forces and the Planck’s law from the point of view of space and time scale transition: both are expressions of invariance to scale transition The work will be of great interest to graduate students, doctoral candidates, and academic researchers working in mathematics and physics.
Book Synopsis 13th Chaotic Modeling and Simulation International Conference by : Christos H. Skiadas
Download or read book 13th Chaotic Modeling and Simulation International Conference written by Christos H. Skiadas and published by Springer Nature. This book was released on 2021-12-14 with total page 1080 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathering the proceedings of the 13th CHAOS2020 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.
Book Synopsis Automotive Brake Disc Materials by : Costel Dorel FLOREA
Download or read book Automotive Brake Disc Materials written by Costel Dorel FLOREA and published by Materials Research Forum LLC. This book was released on 2021-07-05 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book reviews the current status of vehicle brake disc materials and technology. Topics covered include friction materials for braking systems, material characterization, mechanical properties, corrosion processes and methods for disc break investigations. The book references 158 original resources with their direct web links for in-depth reading. Keywords: Braking Systems, Friction Materials, Car Braking Systems, Mathematical Models, Corrosion, Fractality, Cast Iron, Ceramic Thin Layers, Wear, Profilometry, Electro-Corrosion, Linear Potentiometry, Rainwater.
Book Synopsis Multifractal Theory of Motion by : Maricel Agop
Download or read book Multifractal Theory of Motion written by Maricel Agop and published by Springer Nature. This book was released on with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Laser Produced Plasmas Research by : Maricel Agop
Download or read book Advances in Laser Produced Plasmas Research written by Maricel Agop and published by MDPI. This book was released on 2021-01-21 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world of laser matter interaction has known great and rapid advancements in the last few years, with a considerable increase in the number of both experimental and theoretical studies. The classical paradigm used to describe the dynamics of laser produced plasmas has been challenged by new peculiar phenomena observed experimentally, like plasma particles’ oscillations, plume splitting and self-structuring behavior during the expansion of the ejected particles. The use of multiple complementary techniques has become a requirement nowadays, as different aspects can be showcased by specific experimental approaches. To balance these non-linear effects and still remain tributary to the classical theoretical, views on laser produced plasma dynamics novel theoretical models that cover the two sides of the ablation plasma (differentiability and non-differentiability) still need to be developed. Plasma is a strongly nonlinear dynamic system, with many degrees of freedom and other symmetries, favorable for the development of ordered structures, instabilities and transitions (from ordered to chaotic states). In such contexts, we showcased research based on global and local symmetries, complexity and invariance. This special number highlighted exciting new phenomena related to laser produced plasma dynamics with the implementation of theoretical models, towards understanding the complex reality of laser matter interaction.
Download or read book Nonlinear Systems written by and published by BoD – Books on Demand. This book was released on 2018-07-18 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on several key aspects of nonlinear systems including dynamic modeling, state estimation, and stability analysis. It is intended to provide a wide range of readers in applied mathematics and various engineering disciplines an excellent survey of recent studies of nonlinear systems. With its thirteen chapters, the book brings together important contributions from renowned international researchers to provide an excellent survey of recent studies of nonlinear systems. The first section consists of eight chapters that focus on nonlinear dynamic modeling and analysis techniques, while the next section is composed of five chapters that center on state estimation methods and stability analysis for nonlinear systems.
Book Synopsis Fractional Dynamics, Anomalous Transport and Plasma Science by : Christos H. Skiadas
Download or read book Fractional Dynamics, Anomalous Transport and Plasma Science written by Christos H. Skiadas and published by Springer. This book was released on 2018-12-11 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects interrelated lectures on fractal dynamics, anomalous transport and various historical and modern aspects of plasma sciences and technology. The origins of plasma science in connection to electricity and electric charges and devices leading to arc plasma are explored in the first contribution by Jean-Marc Ginoux and Thomas Cuff. The second important historic connection with plasmas was magnetism and the magnetron. Victor J. Law and Denis P. Dowling, in the second contribution, review the history of the magnetron based on the development of thermionic diode valves and related devices. In the third chapter, Christos H Skiadas and Charilaos Skiadas present and apply diffusion theory and solution strategies to a number of stochastic processes of interest. Anomalous diffusion by the fractional Fokker-Planck equation and Lévy stable processes are studied by Johan Anderson and Sara Moradi in the fourth contribution. They consider the motion of charged particles in a 3-dimensional magnetic field in the presence of linear friction and of a stochastic electric field. Analysis of low-frequency instabilities in a low-temperature magnetized plasma is presented by Dan-Gheorghe Dimitriu, Maricel Agop in the fifth chapter. The authors refer to experimental results of the Innsbruck Q-machine and provide an analytical formulation of the related theory. In chapter six, Stefan Irimiciuc, Dan-Gheorghe Dimitriu, Maricel Agop propose a theoretical model to explain the dynamics of charged particles in a plasma discharge with a strong flux of electrons from one plasma structure to another. The theory and applications of fractional derivatives in many-particle disordered large systems are explored by Z.Z. Alisultanov, A.M. Agalarov, A.A. Potapov, G.B. Ragimkhanov. In chapter eight, Maricel Agop, Alina Gavrilut ̧ and Gabriel Crumpei explore the motion of physical systems that take place on continuous but non-differentiable curves (fractal curves). Finally in the last chapter S.L. Cherkas and V.L. Kalashnikov consider the perturbations of a plasma consisting of photons, baryons, and electrons in a linearly expanding (Milne-like) universe taking into account the metric tensor and vacuum perturbations.
Book Synopsis Selected Topics in Applications of Quantum Mechanics by : Mohammad Reza Pahlavani
Download or read book Selected Topics in Applications of Quantum Mechanics written by Mohammad Reza Pahlavani and published by BoD – Books on Demand. This book was released on 2015-05-13 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has two sections. The section Selected Topics in Applications of Quantum Mechanics provides seven chapters about different applications of quantum mechanics in science and technology. The section Selected Topics in Foundations of Quantum Mechanics provides seven chapters about the foundations of quantum mechanics. This book is written by a community of expert scientists from different research institutes and universities from all over the world. Without a doubt, quantum mechanics is the greatest discovery of the 20th century. Therefore, its history and foundations are of great interest to scientists and students. This book covers some of the applications of quantum mechanics in nuclear physics, medical science, information technology, atomic physics and material science, as well as selected topics of quantum mechanics through different bases and ideas about quantum mechanics. The basic idea of the publication of this book is to make scientists and researchers, as well as graduate students, familiar with the foundations of quantum mechanics.
Book Synopsis Diversity and Non-integer Differentiation for System Dynamics by : Alain Oustaloup
Download or read book Diversity and Non-integer Differentiation for System Dynamics written by Alain Oustaloup and published by John Wiley & Sons. This book was released on 2014-08-08 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a structured approach to diversity, notably inspired by various forms of diversity of natural origins, Diversity and Non-integer Derivation Applied to System Dynamics provides a study framework to the introduction of the non-integer derivative as a modeling tool. Modeling tools that highlight unsuspected dynamical performances (notably damping performances) in an "integer" approach of mechanics and automation are also included. Written to enable a two-tier reading, this is an essential resource for scientists, researchers, and industrial engineers interested in this subject area. Table of Contents: 1. From Diversity to Unexpected Dynamic Performance. 2. The Robustness of Damping. 3. Fractional Differentiation and its Memory. 4. CRONE Suspension Idea. 5. CRONE Control Idea
Book Synopsis Practical Applications of Laser Ablation by : Dongfang Yang
Download or read book Practical Applications of Laser Ablation written by Dongfang Yang and published by BoD – Books on Demand. This book was released on 2021-07-14 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Laser ablation refers to the phenomenon in which an intense laser beam irradiates the surface of a solid to induce instant local removal of atoms by a thermal or non-thermal mechanism. Through eight chapters of original research studies and literature reviews written by experts from the international scientific community, this book presents theoretical and experimental aspects of the laser ablation phenomenon for processing material including pulsed laser deposition of thin films, laser surface modification, laser machining and laser nanoparticle formation. It also includes a study of the dynamics of plasmas generated by laser ablation of multi-component materials and an overview of laser-induced breakdown spectroscopy (LIBS) and laser ablation inductively coupled plasma mass spectrometry (LA-ICP-MS) techniques for chemical analysis.
Book Synopsis Advances in Composite Materials for Medicine and Nanotechnology by : Brahim Attaf
Download or read book Advances in Composite Materials for Medicine and Nanotechnology written by Brahim Attaf and published by BoD – Books on Demand. This book was released on 2011-04-01 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to their good mechanical characteristics in terms of stiffness and strength coupled with mass-saving advantage and other attractive physico-chemical properties, composite materials are successfully used in medicine and nanotechnology fields. To this end, the chapters composing the book have been divided into the following sections: medicine, dental and pharmaceutical applications; nanocomposites for energy efficiency; characterization and fabrication, all of which provide an invaluable overview of this fascinating subject area. The book presents, in addition, some studies carried out in orthopedic and stomatological applications and others aiming to design and produce new devices using the latest advances in nanotechnology. This wide variety of theoretical, numerical and experimental results can help specialists involved in these disciplines to enhance competitiveness and innovation.
Book Synopsis Regular Non-Additive Multimeasures. Fundaments and Applications by : Alina Gavriluţ
Download or read book Regular Non-Additive Multimeasures. Fundaments and Applications written by Alina Gavriluţ and published by Springer Nature. This book was released on 2022-10-07 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to be an exhaustive study on regularity and other properties of continuity for different types of non-additive multimeasures and with respect to different types of topologies. The book is addressed to graduate and postgraduate students, teachers and all researchers in mathematics, but not only. Since the notions and results offered by this book are closely related to various notions of the theory of probability, this book will be useful to a wider category of readers, using multivalued analysis techniques in areas such as control theory and optimization, economic mathematics, game theory, decision theory, etc. Measure and integration theory developed during the early years of the 20th century is one of the most important contributions to modern mathematical analysis, with important applications in many fields. In the last years, many classical problems from measure theory have been treated in the non-additive case and also extended in the set-valued case. The property of regularity is involved in many results of mathematical analysis, due to its applications in probability theory, stochastic processes, optimal control problems, dynamical systems, Markov chains, potential theory etc.
Book Synopsis 14th Chaotic Modeling and Simulation International Conference by : Christos H. Skiadas
Download or read book 14th Chaotic Modeling and Simulation International Conference written by Christos H. Skiadas and published by Springer Nature. This book was released on 2022-06-13 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathering the proceedings of the 14th CHAOS2021 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. Chapter "On the Origin of the Universe: Chaos or Cosmos" is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com
Book Synopsis Fractal Analysis by : Fernando Brambila
Download or read book Fractal Analysis written by Fernando Brambila and published by BoD – Books on Demand. This book was released on 2017-07-26 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book. Here we present the use of fractal geometry, in particular, fractal analysis in two sciences: health sciences and social sciences and humanities. Part 1 is Health Science. In it, we present the latest advances in cardiovascular signs, kidney images to determine cancer growth, EEG signals, magnetoencephalography signals, and photosensitive epilepsy. We show how it is possible to produce ultrasonic lenses or even sound focusing. In Part 2, we present the use of fractal analysis in social sciences and humanities. It includes anthropology, hierarchical scaling, human settlements, language, fractal dimension of different cultures, cultural traits, and Mesoamerican complexity. And in Part 3, we present a few useful tools for fractal analysis, such as graphs and correlation, self-affine and self-similar graphs, and correlation function. It is impossible to picture today's research without fractal geometry.
