Probabilistic Properties Of Deterministic Systems

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Probabilistic Properties of Deterministic Systems

Author : Andrzej Lasota
Publisher : Cambridge University Press
ISBN 13 : 9780521090964
Total Pages : 376 pages
Book Rating : 4.0/5 (99 download)

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Book Synopsis Probabilistic Properties of Deterministic Systems by : Andrzej Lasota

Download or read book Probabilistic Properties of Deterministic Systems written by Andrzej Lasota and published by Cambridge University Press. This book was released on 2008-11-27 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how densities arise in simple deterministic systems. There has been explosive growth in interest in physical, biological and economic systems that can be profitably studied using densities. Due to the inaccessibility of the mathematical literature there has been little diffusion of the applicable mathematics into the study of these 'chaotic' systems. This book will help to bridge that gap. The authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial differential equations. They have drawn examples from many scientific fields to illustrate the utility of the techniques presented. The book assumes a knowledge of advanced calculus and differential equations, but basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed.

Statistical Properties of Deterministic Systems

Author : Jiu Ding
Publisher : Springer Science & Business Media
ISBN 13 : 3540853677
Total Pages : 248 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Statistical Properties of Deterministic Systems by : Jiu Ding

Download or read book Statistical Properties of Deterministic Systems written by Jiu Ding and published by Springer Science & Business Media. This book was released on 2010-06-28 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system. The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering. Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.

Statistical Properties of Discrete Deterministic Systems

Author : Gerard Siew Bing Leng
Publisher :
ISBN 13 :
Total Pages : 90 pages
Book Rating : 4.:/5 (199 download)

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Book Synopsis Statistical Properties of Discrete Deterministic Systems by : Gerard Siew Bing Leng

Download or read book Statistical Properties of Discrete Deterministic Systems written by Gerard Siew Bing Leng and published by . This book was released on 1988 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Properties of Deterministic Systems

Author : James Cavanaugh
Publisher :
ISBN 13 : 9781977833358
Total Pages : 240 pages
Book Rating : 4.8/5 (333 download)

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Book Synopsis Statistical Properties of Deterministic Systems by : James Cavanaugh

Download or read book Statistical Properties of Deterministic Systems written by James Cavanaugh and published by . This book was released on 2017-08 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system.

Probalistic properties of deterministic systems

Author : Andrzej Lasota
Publisher :
ISBN 13 :
Total Pages : 358 pages
Book Rating : 4.:/5 (247 download)

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Book Synopsis Probalistic properties of deterministic systems by : Andrzej Lasota

Download or read book Probalistic properties of deterministic systems written by Andrzej Lasota and published by . This book was released on 1985 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Versus Deterministic Systems Of Iterative Processes

Author : Gangaram S Ladde
Publisher : World Scientific
ISBN 13 : 981128749X
Total Pages : 355 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Stochastic Versus Deterministic Systems Of Iterative Processes by : Gangaram S Ladde

Download or read book Stochastic Versus Deterministic Systems Of Iterative Processes written by Gangaram S Ladde and published by World Scientific. This book was released on 2024-04-22 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous state dynamic models can be reformulated into discrete state processes. This process generates numerical schemes that lead theoretical iterative schemes. This type of method of stochastic modelling generates three basic problems. First, the fundamental properties of solution, namely, existence, uniqueness, measurability, continuous dependence on system parameters depend on mode of convergence. Second, the basic probabilistic and statistical properties, namely, the behavior of mean, variance, moments of solutions are described as qualitative/quantitative properties of solution process. We observe that the nature of probability distribution or density functions possess the qualitative/quantitative properties of iterative prosses as a special case. Finally, deterministic versus stochastic modelling of dynamic processes is to what extent the stochastic mathematical model differs from the corresponding deterministic model in the absence of random disturbances or fluctuations and uncertainties.Most literature in this subject was developed in the 1950s, and focused on the theory of systems of continuous and discrete-time deterministic; however, continuous-time and its approximation schemes of stochastic differential equations faced the solutions outlined above and made slow progress in developing problems. This monograph addresses these problems by presenting an account of stochastic versus deterministic issues in discrete state dynamic systems in a systematic and unified way.

Introduction to Probabilistic Automata

Author : Azaria Paz
Publisher : Academic Press
ISBN 13 : 1483268578
Total Pages : 255 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Introduction to Probabilistic Automata by : Azaria Paz

Download or read book Introduction to Probabilistic Automata written by Azaria Paz and published by Academic Press. This book was released on 2014-05-10 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Probabilistic Automata deals with stochastic sequential machines, Markov chains, events, languages, acceptors, and applications. The book describes mathematical models of stochastic sequential machines (SSMs), stochastic input-output relations, and their representation by SSMs. The text also investigates decision problems and minimization-of-states problems arising from concepts of equivalence and coverings for SSMs. The book presents the theory of nonhomogeneous Markov chains and systems in mathematical terms, particularly in relation to asymptotic behavior, composition (direct sum or product), and decomposition. "Word functions," induced by Markov chains and valued Markov systems, involve characterization, equivalence, and representability by an underlying Markov chain or system. The text also discusses the closure properties of probabilistic languages, events and their relation to regular events, particularly with reference to definite, quasidefinite, and exclusive events. Probabilistic automata theory has applications in information theory, control, learning theory, pattern recognition, and time sharing in computer programming. Programmers, computer engineers, computer instructors, and students of computer science will find the collection highly valuable.

Probability in Physics

Author : Yemima Ben-Menahem
Publisher : Springer Science & Business Media
ISBN 13 : 3642213286
Total Pages : 325 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Probability in Physics by : Yemima Ben-Menahem

Download or read book Probability in Physics written by Yemima Ben-Menahem and published by Springer Science & Business Media. This book was released on 2012-01-25 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.

Stochastic Versus Deterministic Systems of Iterative Processes

Author : Gangaram S Ladde
Publisher :
ISBN 13 : 9789811287473
Total Pages : 0 pages
Book Rating : 4.2/5 (874 download)

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Book Synopsis Stochastic Versus Deterministic Systems of Iterative Processes by : Gangaram S Ladde

Download or read book Stochastic Versus Deterministic Systems of Iterative Processes written by Gangaram S Ladde and published by . This book was released on 2024-06-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: State continuous dynamic models can be reformulated into discrete state processes. This process generates numerical schemes that lead theoretical iterative schemes. This type of method of stochastic modelling generates three basic problems. First, the fundamental properties of solution, namely, existence, uniqueness, measurability, continuous dependence on system parameters depend mode of convergence. Second, the basic probabilistic and statistical properties mean, variance, moments of qualitative/quantitative behaviour of solutions are directly described as concept of solution process or via probability distribution or density functions either. Finally, deterministic versus stochastic modelling of dynamic processes is to what extent the stochastic mathematical model differs from the corresponding deterministic model in the absence of random disturbances or fluctuations and uncertainties.Most literature in this subject was developed in the 1950s, and focussed on the theory of systems of continuous and discrete-time deterministic; however, continuous-time and its approximation schemes of stochastic differential equations faced the problems outlined above and made slow progress in developing problems as a result. This monograph addresses these problems by presenting an account of stochastic versus deterministic issues in discrete state dynamic systems in a systematic and unified way.

Chaos, Fractals, and Noise

Author : Andrzej Lasota
Publisher : Springer Science & Business Media
ISBN 13 : 146124286X
Total Pages : 481 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Chaos, Fractals, and Noise by : Andrzej Lasota

Download or read book Chaos, Fractals, and Noise written by Andrzej Lasota and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was originally published in 1985 under the ti tle "Probabilistic Properties of Deterministic Systems. " In the intervening years, interest in so-called "chaotic" systems has continued unabated but with a more thoughtful and sober eye toward applications, as befits a ma turing field. This interest in the serious usage of the concepts and techniques of nonlinear dynamics by applied scientists has probably been spurred more by the availability of inexpensive computers than by any other factor. Thus, computer experiments have been prominent, suggesting the wealth of phe nomena that may be resident in nonlinear systems. In particular, they allow one to observe the interdependence between the deterministic and probabilistic properties of these systems such as the existence of invariant measures and densities, statistical stability and periodicity, the influence of stochastic perturbations, the formation of attractors, and many others. The aim of the book, and especially of this second edition, is to present recent theoretical methods which allow one to study these effects. We have taken the opportunity in this second edition to not only correct the errors of the first edition, but also to add substantially new material in five sections and a new chapter.

Deterministic Nonlinear Systems

Author : Vadim S. Anishchenko
Publisher : Springer
ISBN 13 : 3319068717
Total Pages : 300 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Deterministic Nonlinear Systems by : Vadim S. Anishchenko

Download or read book Deterministic Nonlinear Systems written by Vadim S. Anishchenko and published by Springer. This book was released on 2014-06-16 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems. This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research.

Abstraction, Refinement and Proof for Probabilistic Systems

Author : Annabelle McIver
Publisher : Springer Science & Business Media
ISBN 13 : 038727006X
Total Pages : 394 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Abstraction, Refinement and Proof for Probabilistic Systems by : Annabelle McIver

Download or read book Abstraction, Refinement and Proof for Probabilistic Systems written by Annabelle McIver and published by Springer Science & Business Media. This book was released on 2005-10-27 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrates by example the typical steps necessary in computer science to build a mathematical model of any programming paradigm . Presents results of a large and integrated body of research in the area of 'quantitative' program logics.

Validation of Stochastic Systems

Author : Christel Baier
Publisher : Springer
ISBN 13 : 3540246118
Total Pages : 473 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Validation of Stochastic Systems by : Christel Baier

Download or read book Validation of Stochastic Systems written by Christel Baier and published by Springer. This book was released on 2004-08-26 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tutorial volume presents a coherent and well-balanced introduction to the validation of stochastic systems; it is based on a GI/Dagstuhl research seminar. Supervised by the seminar organizers and volume editors, established researchers in the area as well as graduate students put together a collection of articles competently covering all relevant issues in the area. The lectures are organized in topical sections on: modeling stochastic systems, model checking of stochastic systems, representing large state spaces, deductive verification of stochastic systems.

Probabilistic Description and Entropy of a Deterministic System

Author : Y. K. Leong
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Probabilistic Description and Entropy of a Deterministic System by : Y. K. Leong

Download or read book Probabilistic Description and Entropy of a Deterministic System written by Y. K. Leong and published by . This book was released on 1986 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probabilistic Systems Analysis

Author : Arthur M. Breipohl
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Probabilistic Systems Analysis by : Arthur M. Breipohl

Download or read book Probabilistic Systems Analysis written by Arthur M. Breipohl and published by . This book was released on 1970 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary probability; Engineering applications of probability; Random variables; Expected values; Distribution of functions of Random variables; Applications of Random variables to systems problems; Distributions from data; Estimation; Engineering decisions; Introduction to Random processes; Systems and Random signals.

World Congress of Nonlinear Analysts '92

Author : V. Lakshmikantham
Publisher : Walter de Gruyter
ISBN 13 : 3110883236
Total Pages : 4040 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis World Congress of Nonlinear Analysts '92 by : V. Lakshmikantham

Download or read book World Congress of Nonlinear Analysts '92 written by V. Lakshmikantham and published by Walter de Gruyter. This book was released on 2011-11-14 with total page 4040 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Machine Learning

Author : Yagang Zhang
Publisher : BoD – Books on Demand
ISBN 13 : 9533070331
Total Pages : 448 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Machine Learning by : Yagang Zhang

Download or read book Machine Learning written by Yagang Zhang and published by BoD – Books on Demand. This book was released on 2010-02-01 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Machine learning techniques have the potential of alleviating the complexity of knowledge acquisition. This book presents today’s state and development tendencies of machine learning. It is a multi-author book. Taking into account the large amount of knowledge about machine learning and practice presented in the book, it is divided into three major parts: Introduction, Machine Learning Theory and Applications. Part I focuses on the introduction to machine learning. The author also attempts to promote a new design of thinking machines and development philosophy. Considering the growing complexity and serious difficulties of information processing in machine learning, in Part II of the book, the theoretical foundations of machine learning are considered, and they mainly include self-organizing maps (SOMs), clustering, artificial neural networks, nonlinear control, fuzzy system and knowledge-based system (KBS). Part III contains selected applications of various machine learning approaches, from flight delays, network intrusion, immune system, ship design to CT and RNA target prediction. The book will be of interest to industrial engineers and scientists as well as academics who wish to pursue machine learning. The book is intended for both graduate and postgraduate students in fields such as computer science, cybernetics, system sciences, engineering, statistics, and social sciences, and as a reference for software professionals and practitioners.