Bounded Noises In Physics Biology And Engineering

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Bounded Noises in Physics, Biology, and Engineering

Author : Alberto d'Onofrio
Publisher : Springer Science & Business Media
ISBN 13 : 1461473853
Total Pages : 290 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Bounded Noises in Physics, Biology, and Engineering by : Alberto d'Onofrio

Download or read book Bounded Noises in Physics, Biology, and Engineering written by Alberto d'Onofrio and published by Springer Science & Business Media. This book was released on 2013-09-12 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the parameters in dynamical systems of biological interest are inherently positive and bounded, bounded noises are a natural way to model the realistic stochastic fluctuations of a biological system that are caused by its interaction with the external world. Bounded Noises in Physics, Biology, and Engineering is the first contributed volume devoted to the modeling of bounded noises in theoretical and applied statistical mechanics, quantitative biology, and mathematical physics. It gives an overview of the current state-of-the-art and is intended to stimulate further research. The volume is organized in four parts. The first part presents the main kinds of bounded noises and their applications in theoretical physics. The theory of bounded stochastic processes is intimately linked to its applications to mathematical and statistical physics, and it would be difficult and unnatural to separate the theory from its physical applications. The second is devoted to framing bounded noises in the theory of random dynamical systems and random bifurcations, while the third is devoted to applications of bounded stochastic processes in biology, one of the major areas of potential applications of this subject. The final part concerns the application of bounded stochastic processes in mechanical and structural engineering, the area where the renewed interest for non-Gaussian bounded noises started. Pure mathematicians working on stochastic calculus will find here a rich source of problems that are challenging from the point of view of contemporary nonlinear analysis. Bounded Noises in Physics, Biology, and Engineering is intended for scientists working on stochastic processes with an interest in both fundamental issues and applications. It will appeal to a broad range of applied mathematicians, mathematical biologists, physicists, engineers, and researchers in other fields interested in complexity theory. It is accessible to anyone with a working knowledge of stochastic modeling, from advanced undergraduates to senior researchers.

An Introduction to Continuous-Time Stochastic Processes

Author : Vincenzo Capasso
Publisher : Springer Nature
ISBN 13 : 3030696537
Total Pages : 560 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis An Introduction to Continuous-Time Stochastic Processes by : Vincenzo Capasso

Download or read book An Introduction to Continuous-Time Stochastic Processes written by Vincenzo Capasso and published by Springer Nature. This book was released on 2021-06-18 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, now in its fourth edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, it features concrete examples of modeling real-world problems from biology, medicine, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Unlike other books on stochastic methods that specialize in a specific field of applications, this volume examines the ways in which similar stochastic methods can be applied across different fields. Beginning with the fundamentals of probability, the authors go on to introduce the theory of stochastic processes, the Itô Integral, and stochastic differential equations. The following chapters then explore stability, stationarity, and ergodicity. The second half of the book is dedicated to applications to a variety of fields, including finance, biology, and medicine. Some highlights of this fourth edition include a more rigorous introduction to Gaussian white noise, additional material on the stability of stochastic semigroups used in models of population dynamics and epidemic systems, and the expansion of methods of analysis of one-dimensional stochastic differential equations. An Introduction to Continuous-Time Stochastic Processes, Fourth Edition is intended for graduate students taking an introductory course on stochastic processes, applied probability, stochastic calculus, mathematical finance, or mathematical biology. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided. Researchers and practitioners in mathematical finance, biomathematics, biotechnology, and engineering will also find this volume to be of interest, particularly the applications explored in the second half of the book.

Elements Of Stochastic Dynamics

Author : Guo-qiang Cai
Publisher : World Scientific Publishing Company
ISBN 13 : 9814723347
Total Pages : 552 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Elements Of Stochastic Dynamics by : Guo-qiang Cai

Download or read book Elements Of Stochastic Dynamics written by Guo-qiang Cai and published by World Scientific Publishing Company. This book was released on 2016-08-11 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic dynamics has been a subject of interest since the early 20th Century. Since then, much progress has been made in this field of study, and many modern applications for it have been found in fields such as physics, chemistry, biology, ecology, economy, finance, and many branches of engineering including Mechanical, Ocean, Civil, Bio, and Earthquake Engineering.Elements of Stochastic Dynamics aims to meet the growing need to understand and master the subject by introducing fundamentals to researchers who want to explore stochastic dynamics in their fields and serving as a textbook for graduate students in various areas involving stochastic uncertainties. All topics within are presented from an application approach, and may thus be more appealing to users without a background in pure Mathematics. The book describes the basic concepts and theories of random variables and stochastic processes in detail; provides various solution procedures for systems subjected to stochastic excitations; introduces stochastic stability and bifurcation; and explores failures of stochastic systems. The book also incorporates some latest research results in modeling stochastic processes; in reducing the system degrees of freedom; and in solving nonlinear problems. The book also provides numerical simulation procedures of widely-used random variables and stochastic processes.A large number of exercise problems are included in the book to aid the understanding of the concepts and theories, and may be used for as course homework.

Mathematical Modelling

Author : Hemen Dutta
Publisher : American Mathematical Society
ISBN 13 : 1470469650
Total Pages : 174 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Modelling by : Hemen Dutta

Download or read book Mathematical Modelling written by Hemen Dutta and published by American Mathematical Society. This book was released on 2023-07-07 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Adaptive Filtering Under Minimum Mean p-Power Error Criterion

Author : Wentao Ma
Publisher : CRC Press
ISBN 13 : 1040015956
Total Pages : 372 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Adaptive Filtering Under Minimum Mean p-Power Error Criterion by : Wentao Ma

Download or read book Adaptive Filtering Under Minimum Mean p-Power Error Criterion written by Wentao Ma and published by CRC Press. This book was released on 2024-05-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive filtering still receives attention in engineering as the use of the adaptive filter provides improved performance over the use of a fixed filter under the time-varying and unknown statistics environments. This application evolved communications, signal processing, seismology, mechanical design, and control engineering. The most popular optimization criterion in adaptive filtering is the well-known minimum mean square error (MMSE) criterion, which is, however, only optimal when the signals involved are Gaussian-distributed. Therefore, many "optimal solutions" under MMSE are not optimal. As an extension of the traditional MMSE, the minimum mean p-power error (MMPE) criterion has shown superior performance in many applications of adaptive filtering. This book aims to provide a comprehensive introduction of the MMPE and related adaptive filtering algorithms, which will become an important reference for researchers and practitioners in this application area. The book is geared to senior undergraduates with a basic understanding of linear algebra and statistics, graduate students, or practitioners with experience in adaptive signal processing. Key Features: Provides a systematic description of the MMPE criterion. Many adaptive filtering algorithms under MMPE, including linear and nonlinear filters, will be introduced. Extensive illustrative examples are included to demonstrate the results.

Random Ordinary Differential Equations and Their Numerical Solution

Author : Xiaoying Han
Publisher : Springer
ISBN 13 : 981106265X
Total Pages : 250 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Random Ordinary Differential Equations and Their Numerical Solution by : Xiaoying Han

Download or read book Random Ordinary Differential Equations and Their Numerical Solution written by Xiaoying Han and published by Springer. This book was released on 2017-10-25 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to make recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership, and to familiarize readers with RODEs themselves as well as the closely associated theory of random dynamical systems. In addition, it demonstrates how RODEs are being used in the biological sciences, where non-Gaussian and bounded noise are often more realistic than the Gaussian white noise in stochastic differential equations (SODEs). RODEs are used in many important applications and play a fundamental role in the theory of random dynamical systems. They can be analyzed pathwise with deterministic calculus, but require further treatment beyond that of classical ODE theory due to the lack of smoothness in their time variable. Although classical numerical schemes for ODEs can be used pathwise for RODEs, they rarely attain their traditional order since the solutions of RODEs do not have sufficient smoothness to have Taylor expansions in the usual sense. However, Taylor-like expansions can be derived for RODEs using an iterated application of the appropriate chain rule in integral form, and represent the starting point for the systematic derivation of consistent higher order numerical schemes for RODEs. The book is directed at a wide range of readers in applied and computational mathematics and related areas as well as readers who are interested in the applications of mathematical models involving random effects, in particular in the biological sciences.The level of this book is suitable for graduate students in applied mathematics and related areas, computational sciences and systems biology. A basic knowledge of ordinary differential equations and numerical analysis is required.

Unsolved Problems Of Noise In Physics, Biology, Electronic Technology And Information Technology, Proc

Author : Charles R Doering
Publisher : World Scientific
ISBN 13 : 9814545872
Total Pages : 368 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Unsolved Problems Of Noise In Physics, Biology, Electronic Technology And Information Technology, Proc by : Charles R Doering

Download or read book Unsolved Problems Of Noise In Physics, Biology, Electronic Technology And Information Technology, Proc written by Charles R Doering and published by World Scientific. This book was released on 1997-11-21 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much has been learned about the subject of noise and random fluctuations over the last 170 years (some old milestones: Brownian motion, 1826; Einstein's diffusion theory, 1905; Johnson-Nyquist thermal noise, 1926), but much remains to be known. This volume will be interesting reading for physicists, engineers, mathematicians, biologists and PhD students. The invited papers in the volume survey classical unsolved problems while the regular papers present new problems and paradoxes.

Noise-Induced Transitions

Author : W. Horsthemke
Publisher : Springer Verlag
ISBN 13 : 9783540113591
Total Pages : 318 pages
Book Rating : 4.1/5 (135 download)

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Book Synopsis Noise-Induced Transitions by : W. Horsthemke

Download or read book Noise-Induced Transitions written by W. Horsthemke and published by Springer Verlag. This book was released on 1984 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text, an often-requested reprint, develops and explains the foundations of noise-induced processes. At its core is a self-contained, textbook-style presentation of the elements of probability theory, of the theory of Markovian diffusion processes and of the theory of stochastic differential equations, on which the modeling of fluctuating natural and artificial environments is based. Following an introduction to the mathematical tools, the occurrence and the properties of noise-induced transitions are then analyzed for rapidly fluctuating environments describable by the white-noise idealization. Subsequently, more realistic and general types of colored noises are considered. Appropriate practical methods for dealing with these situations are developed. The latter part of the book contains applications and experimental studies illustrating the many facets of noise-induced transitions. The following applications are considered in Noise-Induced Transitions: population dynamics, electrical circuits, chemical and photochemical reactions, non-linear optics, and hydrodynamical systems.

Proceedings of the First International Conference on Unsolved Problems of Noise in Physics, Biology, Electronic Technology and Information Technology

Download Proceedings of the First International Conference on Unsolved Problems of Noise in Physics, Biology, Electronic Technology and Information Technology PDF Online Free

Author : Charles R. Doering
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810231996
Total Pages : 346 pages
Book Rating : 4.2/5 (319 download)

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Book Synopsis Proceedings of the First International Conference on Unsolved Problems of Noise in Physics, Biology, Electronic Technology and Information Technology by : Charles R. Doering

Download or read book Proceedings of the First International Conference on Unsolved Problems of Noise in Physics, Biology, Electronic Technology and Information Technology written by Charles R. Doering and published by World Scientific Publishing Company Incorporated. This book was released on 1997 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Noise-Induced Phenomena in Slow-Fast Dynamical Systems

Author : Nils Berglund
Publisher : Springer
ISBN 13 : 9781849965477
Total Pages : 276 pages
Book Rating : 4.9/5 (654 download)

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Book Synopsis Noise-Induced Phenomena in Slow-Fast Dynamical Systems by : Nils Berglund

Download or read book Noise-Induced Phenomena in Slow-Fast Dynamical Systems written by Nils Berglund and published by Springer. This book was released on 2010-10-21 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Differential Equations have become increasingly important in modelling complex systems in physics, chemistry, biology, climatology and other fields. This book examines and provides systems for practitioners to use, and provides a number of case studies to show how they can work in practice.

Dynamics and Control of Energy Systems

Author : Achintya Mukhopadhyay
Publisher : Springer Nature
ISBN 13 : 9811505365
Total Pages : 526 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Dynamics and Control of Energy Systems by : Achintya Mukhopadhyay

Download or read book Dynamics and Control of Energy Systems written by Achintya Mukhopadhyay and published by Springer Nature. This book was released on 2019-10-14 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent advances in dynamics and control of different types of energy systems. It covers research on dynamics and control in energy systems from different aspects, namely, combustion, multiphase flow, nuclear, chemical and thermal. The chapters start from the basic concepts so that this book can be useful even for researchers with very little background in the area. A dedicated chapter provides an overview on the fundamental aspects of the dynamical systems approach. The book will be of use to researchers and professionals alike.

Measurement Across the Sciences

Author : Luca Mari
Publisher : Springer Nature
ISBN 13 : 3031224485
Total Pages : 339 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Measurement Across the Sciences by : Luca Mari

Download or read book Measurement Across the Sciences written by Luca Mari and published by Springer Nature. This book was released on 2023-02-25 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book proposes a conceptual framework for understanding measurement across a broad range of scientific fields and areas of application, such as physics, engineering, education, and psychology. It addresses contemporary issues and controversies within measurement in light of the framework, including operationalism, definitional uncertainty, and the relations between measurement and computation, and describes how the framework, operating as a shared concept system, supports understanding measurement’s work in different domains, using examples in the physical and human sciences. This revised and expanded second edition features a new analysis of the analogies and the differences between the error/uncertainty-related approach adopted in physical measurement and the validity-related approach adopted in psychosocial measurement. In addition, it provides a better analysis and presentation of measurement scales, in particular about their relations with quantity units, and introduces the measurand identification/definition as a part of the "Hexagon Framework" along with new examples from the physical and psychosocial sciences. Researchers and academics across a wide range of disciplines including biological, physical, social, and behavioral scientists, as well as specialists in measurement and philosophy appreciate the work’s fresh and provocative approach to the field at a time when sound measurements of complex scientific systems are increasingly essential to solving critical global problems.

Bulletin of the Atomic Scientists

Author :
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4./5 ( download)

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Book Synopsis Bulletin of the Atomic Scientists by :

Download or read book Bulletin of the Atomic Scientists written by and published by . This book was released on 1961-05 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Investigations Into Living Systems, Artificial Life, and Real-world Solutions

Author : George D. Magoulas
Publisher : IGI Global
ISBN 13 : 1466638915
Total Pages : 351 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Investigations Into Living Systems, Artificial Life, and Real-world Solutions by : George D. Magoulas

Download or read book Investigations Into Living Systems, Artificial Life, and Real-world Solutions written by George D. Magoulas and published by IGI Global. This book was released on 2013-01-01 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides original research on the theoretical and applied aspects of artificial life, as well as addresses scientific, psychological, and social issues of synthetic life-like behavior and abilities"--Provided by publisher.

Vagueness in the Exact Sciences

Author : Apostolos Syropoulos
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110704307
Total Pages : 196 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Vagueness in the Exact Sciences by : Apostolos Syropoulos

Download or read book Vagueness in the Exact Sciences written by Apostolos Syropoulos and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-09-07 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book starts with the assumption that vagueness is a fundamental property of this world. From a philosophical account of vagueness via the presentation of alternative mathematics of vagueness, the subsequent chapters explore how vagueness manifests itself in the various exact sciences: physics, chemistry, biology, medicine, computer science, and engineering.

Noise-Induced Phenomena in the Environmental Sciences

Author : Luca Ridolfi
Publisher : Cambridge University Press
ISBN 13 : 9781108446785
Total Pages : 325 pages
Book Rating : 4.4/5 (467 download)

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Book Synopsis Noise-Induced Phenomena in the Environmental Sciences by : Luca Ridolfi

Download or read book Noise-Induced Phenomena in the Environmental Sciences written by Luca Ridolfi and published by Cambridge University Press. This book was released on 2018-03-01 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Randomness is ubiquitous in nature. Random drivers are generally considered a source of disorder in environmental systems. However, the interaction between noise and nonlinear dynamics may lead to the emergence of a number of ordered behaviors (in time and space) that would not exist in the absence of noise. This counterintuitive effect of randomness may play a crucial role in environmental processes. For example, seemingly "random" background events in the atmosphere can grow into larger instabilities that have great effects on weather patterns. This book presents the basics of the theory of stochastic calculus and its application to the study of noise-induced phenomena in environmental systems. It will be an invaluable reference text for ecologists, geoscientists, and environmental engineers interested in the study of stochastic environmental dynamics.