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An Introduction To Stochastic Dynamics


An Introduction To Stochastic Dynamics
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An Introduction To Stochastic Dynamics


An Introduction To Stochastic Dynamics
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Author : Jinqiao Duan
language : en
Publisher: Cambridge University Press
Release Date : 2015-04-13

An Introduction To Stochastic Dynamics written by Jinqiao Duan 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 2015-04-13 with Mathematics categories.


An accessible introduction for applied mathematicians to concepts and techniques for describing, quantifying, and understanding dynamics under uncertainty.



Stochastic Dynamics


Stochastic Dynamics
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Author : Hans Crauel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-14

Stochastic Dynamics written by Hans Crauel 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 2007-12-14 with Mathematics categories.


The conference on Random Dynamical Systems took place from April 28 to May 2, 1997, in Bremen and was organized by Matthias Gundlach and Wolfgang Kliemann with the help of th'itz Colonius and Hans Crauel. It brought together mathematicians and scientists for whom mathematics, in particular the field of random dynamical systems, is of relevance. The aim of the conference was to present the current state in the theory of random dynamical systems (RDS), its connections to other areas of mathematics, major fields of applications, and related numerical methods in a coherent way. It was, ho~vever, not by accident that the conference was centered around the 60th birthday of Ludwig Arnold. The theory of RDS o~ves much of its current state and status to Ludwig Arnold. Many aspects of the theory, a large number of results, and several substantial contributions were accomplished by Ludwig Arnold. An even larger number of contributions has been initiated by him. The field be- fited much from his enthusiasm, his openness for problems not completely aligned with his o~vn research interests, his ability to explain mathematics to researchers from other sciences as well as his ability to get mathema- clans interested in problems from applications not completely aligned with their research interests. In particular, a considerable part of the impact stochastics had on physical chemistry as well as on engineering goes back to Ludwig Arnold. He built up an active research group, kno~vn as "the Bremen group".



Stochastic Dynamical Systems


Stochastic Dynamical Systems
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Author : Josef Honerkamp
language : en
Publisher: John Wiley & Sons
Release Date : 1996-12-17

Stochastic Dynamical Systems written by Josef Honerkamp 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 1996-12-17 with Mathematics categories.


Dieser einzigartige Band führt den Leser in die mathematische Begriffsbildung für komplexe Systeme ein. Er ist ideal für Studenten der Mathematik, Physik, Chemie und Medizin, die sich in ihrem Studium erstmals mit stochastischen dynamischen Systemen beschäftigen. Das Buch stellt praktische Methoden zur Verfügung, um mit solchen Systemen umgehen zu können, und stellt die zugundeliegenden Definitionen und theoretischen Annahmen, wo erforderlich, klar heraus. Im Gegensatz zu anderen Büchern über dieses Gebiet, die oft einen bestimmten Zugang bevorzugen, deckt Stochastical Dynamical Systems eine Vielzahl von stochastischen und statistischen Methoden ab, die für die Untersuchung von komplexen Systemen wie Polymerschmelzen, dem menschlichen Körper und der Atmosphäre absolut notwendig sind. Das Buch behandelt die Datenanalyse ebenso wie Simulationsmethoden für gegebene Modelle. Die ganze Vielfalt der klassischen und neuartigen Begriffe der mathematischen Stochastik wird in einem leicht verständlichen Stil erklärt, so daß die Leser diese Konzepte leicht für die Untersuchung ihrer Daten anwenden können.



Stochastic Dynamics Of Power Systems


Stochastic Dynamics Of Power Systems
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Author : Ping Ju
language : en
Publisher: Springer
Release Date : 2018-08-23

Stochastic Dynamics Of Power Systems written by Ping Ju and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-23 with Technology & Engineering categories.


This book discusses stochastic dynamics of power systems and the related analytical methodology. It summarizes and categorizes the stochastic elements of power systems and develops a framework for research on stochastic dynamics of power systems. It also establishes a research model for stochastic dynamics of power systems and theoretically proves stochastic stability in power systems. Further, in addition to demonstrating the stochastic oscillation mechanism in power systems, it also proposes methods for quantitative analysis and stochastic optimum control in the field of stochastic dynamic security in power systems. This book is a valuable resource for researchers, scholars and engineers in the field of electrics.



Stochastic Dynamics Hard And Soft Ionization Mass Spectrometry


Stochastic Dynamics Hard And Soft Ionization Mass Spectrometry
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Author : Bojidarka Ivanova
language : en
Publisher: GRIN Verlag
Release Date : 2023-03-16

Stochastic Dynamics Hard And Soft Ionization Mass Spectrometry written by Bojidarka Ivanova and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-16 with Science categories.


Research Paper (postgraduate) from the year 2023 in the subject Chemistry - Analytical Chemistry, TU Dortmund (Institute of Environmental Research), language: English, abstract: The contribution brings together our most recent papers, dealing with stochastic dynamics mass spectrometry, the first of which is written specially for this book. It can be regarded as introductory review-chapter, which represents, in fact, an overview of contributions devoted to methodological development of quantitative and structural stochastic dynamics mass spectrometric approaches to soft-ionization methods. The books are primarily intended for widespread use of graduated students, who after the first introductory Chapter 1 to the field of stochastic dynamics soft-ionization quantitative and 3D structural mass spectrometry may wish to deepen their knowledge of primary application of model formulas to hard-ionization approaches. Of course, we hope that it shall be useful not only to undergraduate student, but also to both junior and senior academics and researchers in the analytical mass spectrometry. Owing to the fact, that analytical mass spectrometry is robust method for quantitative and structural analysis, amongst others, not only for fundamental science and a lot of specific scientific disciplines, but also to the industry, the book is designed to serve major and specific goals of both science and various branches of the industry.



Stochastic Dynamics And Boltzmann Hierarchy


Stochastic Dynamics And Boltzmann Hierarchy
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Author : Dmitriĭ I︠A︡kovlevich Petrina
language : en
Publisher: Walter de Gruyter
Release Date : 2009

Stochastic Dynamics And Boltzmann Hierarchy written by Dmitriĭ I︠A︡kovlevich Petrina and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


"This book starts with a survey of results concerning existence of solutions of the BBGKY hierarchy for a system of hard spheres. It is followed (a) by a justification of the Boltzmann-Grad limit, (b) a derivation of the stochastic dynamics from the Hamiltonian dynamics of hard spheres in the Boltzmann-Grad limit, and (c) a derivation of the Ito-Liouville equation. In the next chapter, the stochastic Boltzmann hierarchy with boundary conditions is derived from the stochastic dynamics of point particles. Subsequently the existence of solutions of the stochastic Boltzmann hierarchy is proved and the property of chaos is established, and these results are used to deduce the Boltzmann equation." --Book Jacket.



Recent Development In Stochastic Dynamics And Stochastic Analysis


Recent Development In Stochastic Dynamics And Stochastic Analysis
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Author : Jinqiao Duan
language : en
Publisher: World Scientific
Release Date : 2010

Recent Development In Stochastic Dynamics And Stochastic Analysis written by Jinqiao Duan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


Stochastic dynamical systems and stochastic analysis are of great interests not only to mathematicians but also scientists in other areas. Stochastic dynamical systems tools for modeling and simulation are highly demanded in investigating complex phenomena in, for example, environmental and geophysical sciences, materials science, life sciences, physical and chemical sciences, finance and economics. The volume reflects an essentially timely and interesting subject and offers reviews on the recent and new developments in stochastic dynamics and stochastic analysis, and also some possible future research directions. Presenting a dozen chapters of survey papers and research by leading experts in the subject, the volume is written with a wide audience in mind ranging from graduate students, junior researchers to professionals of other specializations who are interested in the subject.



Stochastic Dynamics Of Structures


Stochastic Dynamics Of Structures
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Author : Abdelkhalak El Hami
language : en
Publisher: John Wiley & Sons
Release Date : 2016-12-27

Stochastic Dynamics Of Structures written by Abdelkhalak El Hami 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 2016-12-27 with Mathematics categories.


This book is dedicated to the general study of the dynamics of mechanical structures with consideration of uncertainties. The goal is to get the appropriate forms of a part in minimizing a given criterion. In all fields of structural mechanics, the impact of good design of a room is very important to its strength, its life and its use in service. The development of the engineer's art requires considerable effort to constantly improve structural design techniques.



Dynamical Systems


Dynamical Systems
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Author : Mahmut Reyhanoglu
language : en
Publisher: BoD – Books on Demand
Release Date : 2017-03-15

Dynamical Systems written by Mahmut Reyhanoglu and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-15 with Mathematics categories.


There has been a considerable progress made during the recent past on mathematical techniques for studying dynamical systems that arise in science and engineering. This progress has been, to a large extent, due to our increasing ability to mathematically model physical processes and to analyze and solve them, both analytically and numerically. With its eleven chapters, this book brings together important contributions from renowned international researchers to provide an excellent survey of recent advances in dynamical systems theory and applications. The first section consists of seven chapters that focus on analytical techniques, while the next section is composed of four chapters that center on computational techniques.



Geometry And Invariance In Stochastic Dynamics


Geometry And Invariance In Stochastic Dynamics
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Author : Stefania Ugolini
language : en
Publisher: Springer Nature
Release Date : 2022-02-09

Geometry And Invariance In Stochastic Dynamics written by Stefania Ugolini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-09 with Mathematics categories.


This book grew out of the Random Transformations and Invariance in Stochastic Dynamics conference held in Verona from the 25th to the 28th of March 2019 in honour of Sergio Albeverio. It presents the new area of studies concerning invariance and symmetry properties of finite and infinite dimensional stochastic differential equations.This area constitutes a natural, much needed, extension of the theory of classical ordinary and partial differential equations, where the reduction theory based on symmetry and invariance of such classical equations has historically proved to be very important both for theoretical and numerical studies and has given rise to important applications. The purpose of the present book is to present the state of the art of the studies on stochastic systems from this point of view, present some of the underlying fundamental ideas and methods involved, and to outline the main lines for future developments. The main focus is on bridging the gap between deterministic and stochastic approaches, with the goal of contributing to the elaboration of a unified theory that will have a great impact both from the theoretical point of view and the point of view of applications. The reader is a mathematician or a theoretical physicist. The main discipline is stochastic analysis with profound ideas coming from Mathematical Physics and Lie’s Group Geometry. While the audience consists essentially of academicians, the reader can also be a practitioner with Ph.D., who is interested in efficient stochastic modelling.