Bounded Noises In Physics Biology And Engineering
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Bounded Noises In Physics Biology And Engineering
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Author : Alberto d'Onofrio
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-12
Bounded Noises In Physics Biology And Engineering written by Alberto d'Onofrio 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 2013-09-12 with Mathematics categories.
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.
Elements Of Stochastic Dynamics
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Author : Guo-qiang Cai
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-08-11
Elements Of Stochastic Dynamics written by Guo-qiang Cai and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-11 with Technology & Engineering categories.
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 Modeling In Cultural Heritage
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Author : Gabriella Bretti
language : en
Publisher: Springer Nature
Release Date : 2025-06-20
Mathematical Modeling In Cultural Heritage written by Gabriella Bretti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-20 with Mathematics categories.
This book collects contributions presented at the INdAM Workshop "Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage–MACH2023” held in Rome, Italy in September 2023. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches. The main topics are corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, phase transitions and reaction-diffusion models, restoration techniques, additive manufacturing, with a particular focus on the effective improvements of the fruition of cultural heritage. The final goal is to strengthen the bridge between the experts in different fields of cultural heritage and the mathematical community.
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.
Adaptive Filtering Under Minimum Mean P Power Error Criterion
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Author : Wentao Ma
language : en
Publisher: CRC Press
Release Date : 2024-05-31
Adaptive Filtering Under Minimum Mean P Power Error Criterion written by Wentao Ma and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-31 with Computers categories.
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
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Author : Xiaoying Han
language : en
Publisher: Springer
Release Date : 2017-10-25
Random Ordinary Differential Equations And Their Numerical Solution written by Xiaoying Han and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-25 with Mathematics categories.
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.
Dynamics And Control Of Energy Systems
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Author : Achintya Mukhopadhyay
language : en
Publisher: Springer Nature
Release Date : 2019-10-14
Dynamics And Control Of Energy Systems written by Achintya Mukhopadhyay and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-14 with Technology & Engineering categories.
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.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1995
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Aeronautics categories.
Unifying Systems
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Author : Aarne Mämmelä
language : en
Publisher: Springer Nature
Release Date : 2025-04-29
Unifying Systems written by Aarne Mämmelä and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-29 with Computers categories.
Interdisciplinary systems thinking is complementary but does not replace conventional disciplinary analytical thinking. The book is valuable for researchers, their advisors, and other thinkers interested in deep knowledge of science. Interdisciplinary systems thinking is valuable for three reasons: The goal of all science is a unified view of the world; we cannot solve the significant problems of our time without interdisciplinary collaboration; and general theories of systems and system archetypes support the solution to those problems. System archetypes are generic system models that have stood the test of time. As specialists within a discipline, we must be able to communicate between disciplines. Interdisciplinary generalists can offer us reliable visions and relevant research problems. The goal of interdisciplinary research is to find unified solutions to those problems. The book provides a lot of information from over a thousand sources in a structured manner to help the reader. The book includes a comprehensive chronology, vocabulary, and bibliography. The author has been a research professor in information engineering for over 25 years. During his career, he became interested in systems thinking, which is closely related to the philosophy and history of science.
Academic Press Dictionary Of Science And Technology
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Author : Christopher G. Morris
language : en
Publisher: Gulf Professional Publishing
Release Date : 1992-08-27
Academic Press Dictionary Of Science And Technology written by Christopher G. Morris and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-27 with Computers categories.
A Dictonary of Science and Technology. Color Illustration Section. Symbols and Units. Fundamental Physical Constants. Measurement Conversion. Periodic Table of the Elements. Atomic Weights. Particles. The Solar System. Geologial Timetable. Five-Kingdom Classification of Organisms. Chronology of Modern Science. Photo Credits.