Statistical Properties Of Deterministic Systems
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Statistical Properties Of Deterministic Systems
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Author : Jiu Ding
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-28
Statistical Properties Of Deterministic Systems written by Jiu Ding 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 2010-06-28 with Mathematics categories.
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 Deterministic Systems
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Author : James Cavanaugh
language : en
Publisher:
Release Date : 2017-08
Statistical Properties Of Deterministic Systems written by James Cavanaugh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08 with categories.
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.
Statistical Properties Of Discrete Deterministic Systems
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Author : Gerard Siew Bing Leng
language : en
Publisher:
Release Date : 1988
Statistical Properties Of Discrete Deterministic Systems written by Gerard Siew Bing Leng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Statistical Properties Of Deterministic Bernoulli Flows
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Author : Amy Radunskaya
language : en
Publisher:
Release Date : 1992
Statistical Properties Of Deterministic Bernoulli Flows written by Amy Radunskaya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Stochastic Versus Deterministic Systems Of Iterative Processes
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Author : Gangaram S Ladde
language : en
Publisher: World Scientific
Release Date : 2024-04-22
Stochastic Versus Deterministic Systems Of Iterative Processes written by Gangaram S Ladde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-22 with Mathematics categories.
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.
Stochastic Versus Deterministic Systems Of Iterative Processes
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Author : Gangaram S Ladde
language : en
Publisher:
Release Date : 2024-06-06
Stochastic Versus Deterministic Systems Of Iterative Processes written by Gangaram S Ladde and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-06 with Mathematics categories.
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.
Statistical Properties Of Some Spatially Discretized Dynamical Systems
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Author : P. E. Kloeden
language : en
Publisher:
Release Date : 1996
Statistical Properties Of Some Spatially Discretized Dynamical Systems written by P. E. Kloeden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
On Statistical Properties For Dynamical Systems
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Author : Wen Xiang Sun
language : en
Publisher:
Release Date : 1995
On Statistical Properties For Dynamical Systems written by Wen Xiang Sun and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Statistical Properties Of Dynamical Systems
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Author : Chris E. H. Lutsko
language : en
Publisher:
Release Date : 2020
Statistical Properties Of Dynamical Systems written by Chris E. H. Lutsko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
Nonlinear Dynamics Of Chaotic And Stochastic Systems
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Author : Vadim S. Anishchenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-20
Nonlinear Dynamics Of Chaotic And Stochastic Systems written by Vadim S. Anishchenko 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 2007-07-20 with Science categories.
We present an improved and enlarged version of our book Nonlinear - namics of Chaotic and Stochastic Systems published by Springer in 2002. Basically, the new edition of the book corresponds to its ?rst version. While preparingthiseditionwemadesomeclari?cationsinseveralsectionsandalso corrected the misprints noticed in some formulas. Besides, three new sections have been added to Chapter 2. They are “Statistical Properties of Dynamical Chaos,” “E?ects of Synchronization in Extended Self-Sustained Oscillatory Systems,” and “Synchronization in Living Systems.” The sections indicated re?ect the most interesting results obtained by the authors after publication of the ?rst edition. We hope that the new edition of the book will be of great interest for a widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning research in the ?elds of nonlinear oscillation and wave theory, dynamical chaos, synchronization, and stochastic process theory. Saratov, Berlin, and St. Louis V.S. Anishchenko November 2006 A.B. Neiman T.E. Vadiavasova V.V. Astakhov L. Schimansky-Geier Preface to the First Edition Thisbookisdevotedtotheclassicalbackgroundandtocontemporaryresults on nonlinear dynamics of deterministic and stochastic systems. Considerable attentionisgiventothee?ectsofnoiseonvariousregimesofdynamicsystems with noise-induced order. On the one hand, there exists a rich literature of excellent books on n- linear dynamics and chaos; on the other hand, there are many marvelous monographs and textbooks on the statistical physics of far-from-equilibrium andstochasticprocesses.Thisbookisanattempttocombinetheapproachof nonlinear dynamics based on the deterministic evolution equations with the approach of statistical physics based on stochastic or kinetic equations. One of our main aims is to show the important role of noise in the organization and properties of dynamic regimes of nonlinear dissipative systems.
