Stochastic Dynamics
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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.
Stochastic Dynamics Filtering And Optimization
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Author : Debasish Roy
language : en
Publisher: Cambridge University Press
Release Date : 2017-05-04
Stochastic Dynamics Filtering And Optimization written by Debasish Roy 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 2017-05-04 with Mathematics categories.
This book introduces essential concepts in stochastic processes that interface seamlessly with applications of interest in science and engineering.
Slope Stochastic Dynamics
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Author : Yu Huang
language : en
Publisher: Springer Nature
Release Date : 2022-02-02
Slope Stochastic Dynamics written by Yu Huang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-02 with Science categories.
This book provides a new framework for analysis of slope nonlinear stochastic seismic dynamic response based on the new theoretical tool of stochastic dynamics. The coupling effects of uncertainty of geological parameters, strong dynamic nonlinearity, and randomness of ground motion are considered in the process of the seismic dynamic stability assessment of slope. In this book, an intensity frequency non-stationary stochastic ground motion model based on time-domain stochastic process description is preliminarily established to characterize the randomness of earthquakes. The spatial distribution random field model of geotechnical parameters is established to describe the time-space variability of geotechnical parameters. Based on the basic theory of stochastic dynamics, the seismic stability performance evaluation method of slope is established. The slope seismic dynamic model test based on large complex shaking table is performed to verify and modify the proposed framework and method. This book sheds new light on the development of nonlinear seismic stochastic dynamics and seismic design of slope engineering.
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.
Stochastic Dynamics
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Author : Hans Crauel
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-03-26
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 1999-03-26 with Mathematics categories.
Focusing on the mathematical description of stochastic dynamics in discrete as well as in continuous time, this book investigates such dynamical phenomena as perturbations, bifurcations and chaos. It also introduces new ideas for the exploration of infinite dimensional systems, in particular stochastic partial differential equations. Example applications are presented from biology, chemistry and engineering, while describing numerical treatments of stochastic systems.
Elements Of Stochastic Dynamics
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Author : Guo-qiang Cai
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-08-11
Elements Of Stochastic Dynamics written by Guo-qiang Cai 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 2016-08-11 with Technology & Engineering categories.
Stochastic dynamics has been a subject of interest since the early 20th Century. Since then, much progress has been made in this field of study, and many modern applications for it have been found in fields such as physics, chemistry, biology, ecology, economy, finance, and many branches of engineering including Mechanical, Ocean, Civil, Bio, and Earthquake Engineering.Elements of Stochastic Dynamics aims to meet the growing need to understand and master the subject by introducing fundamentals to researchers who want to explore stochastic dynamics in their fields and serving as a textbook for graduate students in various areas involving stochastic uncertainties. All topics within are presented from an application approach, and may thus be more appealing to users without a background in pure Mathematics. The book describes the basic concepts and theories of random variables and stochastic processes in detail; provides various solution procedures for systems subjected to stochastic excitations; introduces stochastic stability and bifurcation; and explores failures of stochastic systems. The book also incorporates some latest research results in modeling stochastic processes; in reducing the system degrees of freedom; and in solving nonlinear problems. The book also provides numerical simulation procedures of widely-used random variables and stochastic processes.A large number of exercise problems are included in the book to aid the understanding of the concepts and theories, and may be used for as course homework.
Stochastic Dynamics Of Structures
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Author : Jie Li
language : en
Publisher: John Wiley & Sons
Release Date : 2009-09-28
Stochastic Dynamics Of Structures written by Jie Li 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 2009-09-28 with Technology & Engineering categories.
In Stochastic Dynamics of Structures, Li and Chen present a unified view of the theory and techniques for stochastic dynamics analysis, prediction of reliability, and system control of structures within the innovative theoretical framework of physical stochastic systems. The authors outline the fundamental concepts of random variables, stochastic process and random field, and orthogonal expansion of random functions. Readers will gain insight into core concepts such as stochastic process models for typical dynamic excitations of structures, stochastic finite element, and random vibration analysis. Li and Chen also cover advanced topics, including the theory of and elaborate numerical methods for probability density evolution analysis of stochastic dynamical systems, reliability-based design, and performance control of structures. Stochastic Dynamics of Structures presents techniques for researchers and graduate students in a wide variety of engineering fields: civil engineering, mechanical engineering, aerospace and aeronautics, marine and offshore engineering, ship engineering, and applied mechanics. Practicing engineers will benefit from the concise review of random vibration theory and the new methods introduced in the later chapters. "The book is a valuable contribution to the continuing development of the field of stochastic structural dynamics, including the recent discoveries and developments by the authors of the probability density evolution method (PDEM) and its applications to the assessment of the dynamic reliability and control of complex structures through the equivalent extreme-value distribution." —A. H-S. Ang, NAE, Hon. Mem. ASCE, Research Professor, University of California, Irvine, USA "The authors have made a concerted effort to present a responsible and even holistic account of modern stochastic dynamics. Beyond the traditional concepts, they also discuss theoretical tools of recent currency such as the Karhunen-Loeve expansion, evolutionary power spectra, etc. The theoretical developments are properly supplemented by examples from earthquake, wind, and ocean engineering. The book is integrated by also comprising several useful appendices, and an exhaustive list of references; it will be an indispensable tool for students, researchers, and practitioners endeavoring in its thematic field." —Pol Spanos, NAE, Ryon Chair in Engineering, Rice University, Houston, USA
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.
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.
1. Hyperbolic equations with random boundary conditions / Zdzisław Brzeźniak and Szymon Peszat -- 2. Decoherent information of quantum operations / Xuelian Cao, Nan Li and Shunlong Luo -- 3. Stabilization of evolution equations by noise / Tomás Caraballo and Peter E. Kloeden -- 4. Stochastic quantification of missing mechanisms in dynamical systems / Baohua Chen and Jinqiao Duan -- 5. Banach space-valued functionals of white noise / Yin Chen and Caishi Wang -- 6. Hurst index estimation for self-similar processes with long-memory / Alexandra Chronopoulou and Frederi G. Viens -- 7. Modeling colored noise by fractional Brownian motion / Jinqiao Duan, Chujin Li and Xiangjun Wang -- 8. A sufficient condition for non-explosion for a class of stochastic partial differential equations / Hongbo Fu, Daomin Cao and Jinqiao Duan -- 9. The influence of transaction costs on optimal control for an insurance company with a new value function / Lin He, Zongxia Liang and Fei Xing -- 10. Limit theorems for p-variations of solutions of SDEs driven by additive stable Lévy noise and model selection for paleo-climatic data / Claudia Hein, Peter Imkeller and Ilya Pavlyukevich -- 11. Class II semi-subgroups of the infinite dimensional rotation group and associated Lie algebra / Takeyuki Hida and Si Si -- 12. Stopping Weyl processes / Robin L. Hudson -- 13. Karhunen-Loéve expansion for stochastic convolution of cylindrical fractional Brownian motions / Zongxia Liang -- 14. Stein's method meets Malliavin calculus : a short survey with new estimates / Ivan Nourdin and Giovanni Peccati -- 15. On stochastic integrals with respect to an infinite number of Poisson point process and its applications / Guanglin Rang, Qing Li and Sheng You -- 16. Lévy white noise, elliptic SPDEs and Euclidean random fields / Jiang-Lun Wu -- 17. A short presentation of Choquet integral / Jia-An Yan
Information Dynamics
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Author : Gustavo Deco
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Information Dynamics written by Gustavo Deco 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 2012-12-06 with Computers categories.
This book originated from a forefront R&D project pursued at Siemens Corporate Technology over the past several years. As a name for this project, we chose "Information Dynamics", which stands for information processing in complex dynamical systems. In the project, we wanted to grasp the flow of information in such systems in a quantitative manner, on the one hand by making use of an existing arsenal of methods and techniques from areas such as information theory, mathematical statistics, neural networks, nonlinear dynamics, probability theory, and statistical physics, and on the other hand by deriving new methods and techniques if required. The book contains only those contributions to the above-mentioned project which lend themselves to a unifying theoretical framework. Other important results obtained in the project, such as the extension of transport-theoretic techniques and their application to optimizing traffic flow, or the design of new neural network architectures for treating systems at the edge of chaos with applications in economics, are left out. This certainly is a sacrifice, but we think it is of benefit to the reader that we tried to be as focused and self contained as possible.