Multifractal Theory Of Motion

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Multifractal Theory Of Motion

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Author : Maricel Agop
language : en
Publisher: Springer Nature
Release Date : 2024-10-15

Multifractal Theory Of Motion written by Maricel Agop and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-15 with Science categories.

This book aims to present the topic of nonlinear and chaotic dynamics in a manner that is useful and beneficial to students and young researchers from various domains such as physics, mathematics, biology, or even medicine. A very important aspect of that topic is that the constraints of determinism do not imply a regular behavior or do not rely on predictability in describing the dynamics of natural systems. Exploring the evolution of natural systems has a great impact nowadays on a wide range of scientific domains. The dynamics of populations, cardiac fibrillation, communication systems, fluid flow, and atmospheric systems are just a few topics in which nonlinearity and chaos are a regular manifestation. This leads to the idea that it is necessary to find universal laws that govern these dynamics. The aforementioned variety in scientific topics is also sustained by an exponential interest in recent decades from readers in the scientific community and the non-scientific one as well. The book is devoted to the nonlinear and chaotic dynamics topic, a domain that is both trans- and multi-disciplinary and has been the focus of the scientific community in past decades.

Insight On Multifractal Dynamics Of Ns Laser Produced Plasmas

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Author : Stefan Andrei Irimiciuc
language : en
Publisher: World Scientific
Release Date : 2023-08-22

Insight On Multifractal Dynamics Of Ns Laser Produced Plasmas written by Stefan Andrei Irimiciuc and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-22 with Science categories.

Fourteen years after the first proposal of a fractal theoretical model to understand the dynamics of laser produced plasma, a complete image of the model is projected on a wide range of empirical data related to laser produced plasmas.The book tackles the two sides of laser produced plasmas with experimental data on a wide range of materials, from metallic alloys to geological samples and the associated mathematical model is developed in the multifractal theory of motion. A new perspective is explored in analyzing and interpreting the data collected by electrical or optical methods, focusing especially on the charged particles dynamics and the nature of fractal fluctuations and their influence during measurements as well as to the scattering process and plasma splitting phenomena, all seen through the lens of multifractal physics.The book offers the best presentation of the multifractal theoretical model for the study of transient phenomena in laser produced plasmas, which focus leads to a balanced development of the model showcasing both the flexibility and the unique vision of a multifractal mathematical apparatus.

Advances In Epidemiological Modeling And Control Of Viruses

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Author : Hemen Dutta
language : en
Publisher: Elsevier
Release Date : 2023-01-06

Advances In Epidemiological Modeling And Control Of Viruses written by Hemen Dutta and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-06 with Medical categories.

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

Multifractal Volatility

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Author : Laurent E. Calvet
language : en
Publisher: Academic Press
Release Date : 2008-10-13

Multifractal Volatility written by Laurent E. Calvet and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-13 with Business & Economics categories.

Calvet and Fisher present a powerful, new technique for volatility forecasting that draws on insights from the use of multifractals in the natural sciences and mathematics and provides a unified treatment of the use of multifractal techniques in finance. A large existing literature (e.g., Engle, 1982; Rossi, 1995) models volatility as an average of past shocks, possibly with a noise component. This approach often has difficulty capturing sharp discontinuities and large changes in financial volatility. Their research has shown the advantages of modelling volatility as subject to abrupt regime changes of heterogeneous durations. Using the intuition that some economic phenomena are long-lasting while others are more transient, they permit regimes to have varying degrees of persistence. By drawing on insights from the use of multifractals in the natural sciences and mathematics, they show how to construct high-dimensional regime-switching models that are easy to estimate, and substantially outperform some of the best traditional forecasting models such as GARCH. The goal of Multifractal Volatility is to popularize the approach by presenting these exciting new developments to a wider audience. They emphasize both theoretical and empirical applications, beginning with a style that is easily accessible and intuitive in early chapters, and extending to the most rigorous continuous-time and equilibrium pricing formulations in final chapters. - Presents a powerful new technique for forecasting volatility - Leads the reader intuitively from existing volatility techniques to the frontier of research in this field by top scholars at major universities - The first comprehensive book on multifractal techniques in finance, a cutting-edge field of research

Mathematical Modelling

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Author : Hemen Dutta
language : en
Publisher: American Mathematical Society
Release Date : 2023-07-07

Mathematical Modelling written by Hemen Dutta and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-07 with Mathematics categories.

This volume is a collection of chapters that present key ideas and theories, as well as their rigorous applications, required for the development of mathematical models in areas such as travelling waves, epidemiology, the chemotaxis system, atrial fibrillation, and vortex nerve complexes. The techniques, methodologies and approaches adopted in this book have relevance in several other fields including physics, biology, and sociology. Each chapter should also assist readers in comfortably comprehending the related and underlying ideas. The companion volume (Contemporary Mathematics, Volume 786) is devoted to principle and theory.

13th Chaotic Modeling And Simulation International Conference

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Author : Christos H. Skiadas
language : en
Publisher: Springer Nature
Release Date : 2021-12-14

13th Chaotic Modeling And Simulation International Conference written by Christos H. Skiadas and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-14 with Mathematics categories.

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.

Theories Of Turbulence

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Author : Martin Oberlack
language : en
Publisher: Springer
Release Date : 2014-05-04

Theories Of Turbulence written by Martin Oberlack and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Science categories.

The term "turbulence” is used for a large variety of dynamical phenomena of fluids in motion whenever the details of the flow appear to be random and average properties are of primary interest. Just as wide ranging are the theoretical methods that have been applied towards a better understanding of fluid turbulence. In this book a number of these methods are described and applied to a broad range of problems from the transition to turbulence to asymptotic turbulence when the inertial part of the spectrum is fully developed. Statistical as well as nonstatistical treatments are presented, but a complete coverage of the subject is not attempted. The book will be of interest to scientists and engineers who wish to familiarize themselves with modern developments in theories of turbulence. The fact that the properties of turbulent fluid flow are addressed from very different points of view makes this volume rather unique among presently available books on turbulence.

Multifractal Based Network Traffic Modeling

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Author : Murali Krishna P
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Multifractal Based Network Traffic Modeling written by Murali Krishna P 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.

Multifractal Based Network Traffic Modeling provides an overview of existing broadband traffic modeling based on the Poisson process and its variants like the MM1 models. It also provides very good coverage of models based on self-similar processes. Throughout the book, the authors have focused on the problem of broadband traffic modeling keeping in mind long range dependencies in broadband traffic. Graduate students, researchers, and individuals new to the areas of teletraffic modeling and communication network engineering will find this work especially helpful. The book could also be used as a textbook for a graduate level course on Teletraffic Modeling.

Multi Fractal Traffic And Anomaly Detection In Computer Communications

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Author : Ming Li
language : en
Publisher: CRC Press
Release Date : 2022-12-29

Multi Fractal Traffic And Anomaly Detection In Computer Communications written by Ming Li and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-29 with Mathematics categories.

This book provides a comprehensive theory of mono- and multi-fractal traffic, including the basics of long-range dependent time series and 1/f noise, ergodicity and predictability of traffic, traffic modeling and simulation, stationarity tests of traffic, traffic measurement and the anomaly detection of traffic in communications networks. Proving that mono-fractal LRD time series is ergodic, the book exhibits that LRD traffic is stationary. The author shows that the stationarity of multi-fractal traffic relies on observation time scales, and proposes multi-fractional generalized Cauchy processes and modified multi-fractional Gaussian noise. The book also establishes a set of guidelines for determining the record length of traffic in measurement. Moreover, it presents an approach of traffic simulation, as well as the anomaly detection of traffic under distributed-denial-of service attacks. Scholars and graduates studying network traffic in computer science will find the book beneficial.

Multifractals And 1 Noise

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Author : Benoit B. Mandelbrot
language : en
Publisher: Springer
Release Date : 2013-12-20

Multifractals And 1 Noise written by Benoit B. Mandelbrot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with Mathematics categories.

Certain noises, many aspects of turbulence, and almost all aspects of finance exhibit a level of temporal and spatial variability whose "wildness" impressed itself vividly upon the author, Benoit Mandelbrot, in the early 1960's. He soon realized that those phenomena cannot be described by simply adapting the statistical techniques of earlier physics, or even extending those techniques slightly. It appeared that the study of finance and turbulence could not move forward without the recognition that those phenomena represented a new second stage of indeterminism. Altogether new mathematical tools were needed. The papers in this Selecta volume reflect that realization and the work that Dr. Mandelbrot did toward the development of those new tools.