General Dynamical Processes A Mathematical Introduction

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General Dynamical Processes: A Mathematical Introduction

Anonim
General Dynamical Processes A Mathematical Introduction Book PDF

Author : Anonim
Publisher : Academic Press
Page : 322 pages
File Size : 44,9 Mb
Release : 1971-05-31
Category : Mathematics
ISBN : 008095586X

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General Dynamical Processes: A Mathematical Introduction by Anonim Pdf

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; and methods 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 particular branches, 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

General Dynamical Processes

Thomas G. Windeknecht
General Dynamical Processes Book PDF

Author : Thomas G. Windeknecht
Publisher : Unknown
Page : 0 pages
File Size : 44,7 Mb
Release : 1971
Category : System analysis
ISBN : 1283525909

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General Dynamical Processes by Thomas G. Windeknecht Pdf

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.

An Introduction to the Mathematical Theory of Dynamic Materials

Konstantin A. Lurie
An Introduction to the Mathematical Theory of Dynamic Materials Book PDF

Author : Konstantin A. Lurie
Publisher : Springer Science & Business Media
Page : 188 pages
File Size : 49,8 Mb
Release : 2007-05-15
Category : Mathematics
ISBN : 9780387382807

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An Introduction to the Mathematical Theory of Dynamic Materials by Konstantin A. Lurie Pdf

This fascinating book is a treatise on real space-age materials. It is a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes.

An Introduction To Nonautonomous Dynamical Systems And Their Attractors

Peter Kloeden,Meihua Yang
An Introduction To Nonautonomous Dynamical Systems And Their Attractors Book PDF

Author : Peter Kloeden,Meihua Yang
Publisher : World Scientific
Page : 157 pages
File Size : 48,6 Mb
Release : 2020-11-25
Category : Mathematics
ISBN : 9789811228674

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An Introduction To Nonautonomous Dynamical Systems And Their Attractors by Peter Kloeden,Meihua Yang Pdf

The nature of time in a nonautonomous dynamical system is very different from that in autonomous systems, which depend only on the time that has elapsed since starting rather than on the actual time itself. Consequently, limiting objects may not exist in actual time as in autonomous systems. New concepts of attractors in nonautonomous dynamical system are thus required.In addition, the definition of a dynamical system itself needs to be generalised to the nonautonomous context. Here two possibilities are considered: two-parameter semigroups or processes and the skew product flows. Their attractors are defined in terms of families of sets that are mapped onto each other under the dynamics rather than a single set as in autonomous systems. Two types of attraction are now possible: pullback attraction, which depends on the behaviour from the system in the distant past, and forward attraction, which depends on the behaviour of the system in the distant future. These are generally independent of each other.The component subsets of pullback and forward attractors exist in actual time. The asymptotic behaviour in the future limit is characterised by omega-limit sets, in terms of which form what are called forward attracting sets. They are generally not invariant in the conventional sense, but are asymptotically invariant in general and, if the future dynamics is appropriately uniform, also asymptotically negatively invariant.Much of this book is based on lectures given by the authors in Frankfurt and Wuhan. It was written mainly when the first author held a 'Thousand Expert' Professorship at the Huazhong University of Science and Technology in Wuhan.

Introduction to Turbulent Dynamical Systems in Complex Systems

Andrew J. Majda
Introduction to Turbulent Dynamical Systems in Complex Systems Book PDF

Author : Andrew J. Majda
Publisher : Springer
Page : 91 pages
File Size : 48,9 Mb
Release : 2016-09-14
Category : Mathematics
ISBN : 9783319322179

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Introduction to Turbulent Dynamical Systems in Complex Systems by Andrew J. Majda Pdf

This volume is a research expository article on the applied mathematics of turbulent dynamical systems through the paradigm of modern applied mathematics. It involves the blending of rigorous mathematical theory, qualitative and quantitative modeling, and novel numerical procedures driven by the goal of understanding physical phenomena which are of central importance to the field. The contents cover general framework, concrete examples, and instructive qualitative models. Accessible open problems are mentioned throughout. Topics covered include: · Geophysical flows with rotation, topography, deterministic and random forcing · New statistical energy principles for general turbulent dynamical systems, with applications · Linear statistical response theory combined with information theory to cope with model errors · Reduced low order models · Recent mathematical strategies for online data assimilation of turbulent dynamical systems as well as rigorous results for finite ensemble Kalman filters The volume will appeal to graduate students and researchers working mathematics, physics and engineering and particularly those in the climate, atmospheric and ocean sciences interested in turbulent dynamical as well as other complex systems.

Dynamic Programming and Its Application to Optimal Control

Anonim
Dynamic Programming and Its Application to Optimal Control Book PDF

Author : Anonim
Publisher : Elsevier
Page : 322 pages
File Size : 44,5 Mb
Release : 1971-10-11
Category : Mathematics
ISBN : 0080955894

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Dynamic Programming and Its Application to Optimal Control by Anonim Pdf

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; and methods 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 particular branches, 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

System Identification

James L Melsa
System Identification Book PDF

Author : James L Melsa
Publisher : Academic Press
Page : 220 pages
File Size : 48,9 Mb
Release : 1971-06-26
Category : Computers
ISBN : 9780080955889

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System Identification by James L Melsa Pdf

System Identification

Algebraic Theory for Multivariable Linear Systems

Blomberg
Algebraic Theory for Multivariable Linear Systems Book PDF

Author : Blomberg
Publisher : Academic Press
Page : 359 pages
File Size : 51,7 Mb
Release : 1983-06-14
Category : Computers
ISBN : 9780080956725

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Algebraic Theory for Multivariable Linear Systems by Blomberg Pdf

Algebraic Theory for Multivariable Linear Systems

Computational Methods in Optimization

E. Polak
Computational Methods in Optimization Book PDF

Author : E. Polak
Publisher : Academic Press
Page : 329 pages
File Size : 52,5 Mb
Release : 1971-05-31
Category : Business & Economics
ISBN : 008096091X

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Computational Methods in Optimization by E. Polak Pdf

Computational Methods in Optimization

Principles of Combinatorics

Berge
Principles of Combinatorics Book PDF

Author : Berge
Publisher : Academic Press
Page : 175 pages
File Size : 55,7 Mb
Release : 1971-04-20
Category : Computers
ISBN : 9780080955810

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Principles of Combinatorics by Berge Pdf

Berge's Principles of Combinatorics is now an acknowledged classic work of the field. Complementary to his previous books, Berge's introduction deals largely with enumeration. The choice of topics is balanced, the presentation elegant, and the text can be followed by anyone with an interest in the subject with only a little algebra required as a background. Some topics were here described for the first time, including Robinston-Shensted theorum, the Eden-Schutzenberger theorum, and facts connecting Young diagrams, trees, and the symmetric group.

Numerical Solution of Ordinary Differential Equations

Anonim
Numerical Solution of Ordinary Differential Equations Book PDF

Author : Anonim
Publisher : Academic Press
Page : 322 pages
File Size : 54,9 Mb
Release : 1971-03-31
Category : Mathematics
ISBN : 0080955835

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Numerical Solution of Ordinary Differential Equations by Anonim Pdf

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; and methods 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 particular branches, 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

Integer Programming

Anonim
Integer Programming Book PDF

Author : Anonim
Publisher : Academic Press
Page : 322 pages
File Size : 49,5 Mb
Release : 1971-05-14
Category : Mathematics
ISBN : 0080955851

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Integer Programming by Anonim Pdf

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; and methods 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 particular branches, 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

Facets of Systems Science

George J. Klir
Facets of Systems Science Book PDF

Author : George J. Klir
Publisher : Springer Science & Business Media
Page : 728 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461513315

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Facets of Systems Science by George J. Klir Pdf

This book has a rather strange history. It began in spring 1989, thirteen years after our Systems Science Department at SUNY-Binghamton was established, when I was asked by a group of students in our doctoral program to have a meeting with them. The spokesman of the group, Cliff Joslyn, opened our meeting by stating its purpose. I can closely paraphrase what he said: "We called this meeting to discuss with you, as Chairman of the Department, a fundamental problem with our systems science curriculum. In general, we consider it a good curriculum: we learn a lot of concepts, principles, and methodological tools, mathematical, computational, heu ristic, which are fundamental to understanding and dealing with systems. And, yet, we learn virtually nothing about systems science itself. What is systems science? What are its historical roots? What are its aims? Where does it stand and where is it likely to go? These are pressing questions to us. After all, aren't we supposed to carry the systems science flag after we graduate from this program? We feel that a broad introductory course to systems science is urgently needed in the curriculum. Do you agree with this assessment?" The answer was obvious and, yet, not easy to give: "I agree, of course, but I do not see how the situation could be alleviated in the foreseeable future.

Adaptation and Learning in Automatic Systems

Tsypkin
Adaptation and Learning in Automatic Systems Book PDF

Author : Tsypkin
Publisher : Academic Press
Page : 290 pages
File Size : 53,5 Mb
Release : 1971-06-26
Category : Mathematics
ISBN : 9780080955827

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Adaptation and Learning in Automatic Systems by Tsypkin Pdf

Adaptation and Learning in Automatic Systems

Diakoptics and Networks

Happ
Diakoptics and Networks Book PDF

Author : Happ
Publisher : Academic Press
Page : 313 pages
File Size : 45,5 Mb
Release : 1971-03-20
Category : Computers
ISBN : 9780080955780

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Diakoptics and Networks by Happ Pdf

Diakoptics and Networks