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General Dynamical Processes


General Dynamical Processes
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General Dynamical Processes A Mathematical Introduction


General Dynamical Processes A Mathematical Introduction
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Author :
language : en
Publisher: Academic Press
Release Date : 1971-05-31

General Dynamical Processes A Mathematical Introduction written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-05-31 with Mathematics categories.


In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering



Dynamical Processes On Complex Networks


Dynamical Processes On Complex Networks
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Author : Alain Barrat
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-11

Dynamical Processes On Complex Networks written by Alain Barrat and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-11 with Science categories.


The availability of large data sets have allowed researchers to uncover complex properties such as large scale fluctuations and heterogeneities in many networks which have lead to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. For example, a vast number of everyday systems, from the brain to ecosystems, power grids and the Internet, can be represented as large complex networks. This new and recent account presents a comprehensive explanation of these effects.



Dynamical Systems On Networks


Dynamical Systems On Networks
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Author : Mason Porter
language : en
Publisher: Springer
Release Date : 2016-03-31

Dynamical Systems On Networks written by Mason Porter and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-31 with Mathematics categories.


This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on “simple” situations that are analytically tractable, because they are insightful and provide useful springboards for the study of more complicated scenarios. This tutorial, which also includes key pointers to the literature, should be helpful for junior and senior undergraduate students, graduate students, and researchers from mathematics, physics, and engineering who seek to study dynamical systems on networks but who may not have prior experience with graph theory or networks. Mason A. Porter is Professor of Nonlinear and Complex Systems at the Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, UK. He is also a member of the CABDyN Complexity Centre and a Tutorial Fellow of Somerville College. James P. Gleeson is Professor of Industrial and Applied Mathematics, and co-Director of MACSI, at the University of Limerick, Ireland.



An Introduction To Sequential Dynamical Systems


An Introduction To Sequential Dynamical Systems
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Author : Henning Mortveit
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-27

An Introduction To Sequential Dynamical Systems written by Henning Mortveit 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 2007-11-27 with Mathematics categories.


This introductory text to the class of Sequential Dynamical Systems (SDS) is the first textbook on this timely subject. Driven by numerous examples and thought-provoking problems throughout, the presentation offers good foundational material on finite discrete dynamical systems, which then leads systematically to an introduction of SDS. From a broad range of topics on structure theory - equivalence, fixed points, invertibility and other phase space properties - thereafter SDS relations to graph theory, classical dynamical systems as well as SDS applications in computer science are explored. This is a versatile interdisciplinary textbook.



General Dynamical Processes


General Dynamical Processes
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Author : Thomas G. Windeknecht
language : en
Publisher:
Release Date : 1971

General Dynamical Processes written by Thomas G. Windeknecht and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with System analysis categories.


In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank.



The Quantum Statistics Of Dynamic Processes


The Quantum Statistics Of Dynamic Processes
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Author : Eugen Fick
language : en
Publisher: Springer
Release Date : 2012-01-29

The Quantum Statistics Of Dynamic Processes written by Eugen Fick and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-29 with Science categories.


The methods of statistical physics have become increasingly important in recent years for the treatment of a variety of diverse physical problems. Of principal interest is the microscopic description of the dynamics of dissipative systems. Although a unified theoretical description has at present not yet been achieved, we have assumed the task of writing a textbook which summarizes those of the most important methods which are self-contained and complete in themselves. We cannot, of course, claim to have treated the field exhaustively. A microscopic description of physical phenomena must necessarily be based upon quantum theory, and we have therefore carried out the treatment of dynamic processes strictly within a quantum-theoretical framework. For this reason alone it was necessary to omit a number of extremely important theories which have up to now been formulated only in terms of classical statistics. The goal of this book is, on the one hand, to give an introduction to the general principles of the quantum statistics of dynamical processes, and, on the other, to provide readers who are interested in the treatment of particular phenomena with methods for solving specific problems. The theory is for the most part formulated within the calculational frame work of Liouville space, which, together with projector formalism, has become an expedient mathematical tool in statistical physics.



Dynamical Processes In Atomic And Molecular Physics


Dynamical Processes In Atomic And Molecular Physics
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Author : Gennadi Ogurtsov
language : en
Publisher: Bentham Science Publishers
Release Date : 2012

Dynamical Processes In Atomic And Molecular Physics written by Gennadi Ogurtsov and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Science categories.


Atomic and molecular physics underlie a basis for our knowledge of fundamental processes in nature and technology and in such applications as solid state physics, chemistry and biology. In recent years, atomic and molecular physics has undergone a revolutionary change due to great achievements in computing and experimental techniques. As a result, it has become possible to obtain information both on atomic and molecular characteristics and on dynamics of atomic and molecular processes. This e-book highlights the present state of investigations in the field of atomic and molecular physics. Recent theoretical developments as well as new discoveries and observations are discussed. the Book should be of interest to students studying atomic and molecular physics and specialists in related fields of science and technology.



Dynamical Systems


Dynamical Systems
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Author : Jürgen Jost
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-24

Dynamical Systems written by Jürgen Jost 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 2005-11-24 with Science categories.


Breadth of scope is unique Author is a widely-known and successful textbook author Unlike many recent textbooks on chaotic systems that have superficial treatment, this book provides explanations of the deep underlying mathematical ideas No technical proofs, but an introduction to the whole field that is based on the specific analysis of carefully selected examples Includes a section on cellular automata



Dynamic Process Modeling


Dynamic Process Modeling
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Author :
language : en
Publisher: John Wiley & Sons
Release Date : 2013-10-02

Dynamic Process Modeling written by and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-02 with Technology & Engineering categories.


Inspired by the leading authority in the field, the Centre for Process Systems Engineering at Imperial College London, this book includes theoretical developments, algorithms, methodologies and tools in process systems engineering and applications from the chemical, energy, molecular, biomedical and other areas. It spans a whole range of length scales seen in manufacturing industries, from molecular and nanoscale phenomena to enterprise-wide optimization and control. As such, this will appeal to a broad readership, since the topic applies not only to all technical processes but also due to the interdisciplinary expertise required to solve the challenge. The ultimate reference work for years to come.



Introduction To Differential Equations An Stochastic Modeling Methods And Analysis Volume 2


Introduction To Differential Equations An Stochastic Modeling Methods And Analysis Volume 2
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Author : Anilchandra G Ladde
language : en
Publisher: World Scientific Publishing Company
Release Date : 2013-01-11

Introduction To Differential Equations An Stochastic Modeling Methods And Analysis Volume 2 written by Anilchandra G Ladde 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 2013-01-11 with Mathematics categories.


Volume 1: Deterministic Modeling, Methods and Analysis For more than half a century, stochastic calculus and stochastic differential equations have played a major role in analyzing the dynamic phenomena in the biological and physical sciences, as well as engineering. The advancement of knowledge in stochastic differential equations is spreading rapidly across the graduate and postgraduate programs in universities around the globe. This will be the first available book that can be used in any undergraduate/graduate stochastic modeling/applied mathematics courses and that can be used by an interdisciplinary researcher with a minimal academic background. An Introduction to Differential Equations: Volume 2 is a stochastic version of Volume 1 (“An Introduction to Differential Equations: Deterministic Modeling, Methods and Analysis”). Both books have a similar design, but naturally, differ by calculi. Again, both volumes use an innovative style in the presentation of the topics, methods and concepts with adequate preparation in deterministic Calculus. Errata Errata (32 KB)