Dynamics Of Nonlinear Stochastic Systems Primary Source Edition

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Nonlinear Dynamics of Chaotic and Stochastic Systems

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Author : Vadim S. Anishchenko
Publisher : Springer Science & Business Media
ISBN 13 : 3540381686
Total Pages : 463 pages
Book Rating : 4.5/5 (43 download)

Book Synopsis Nonlinear Dynamics of Chaotic and Stochastic Systems by : Vadim S. Anishchenko

Download or read book Nonlinear Dynamics of Chaotic and Stochastic Systems written by Vadim S. Anishchenko and published by Springer Science & Business Media. This book was released on 2007-07-20 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Uncertainty Modeling in Vibration, Control and Fuzzy Analysis of Structural Systems

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Author : Bilal M. Ayyub
Publisher : World Scientific
ISBN 13 : 9810231342
Total Pages : 382 pages
Book Rating : 4.8/5 (12 download)

Book Synopsis Uncertainty Modeling in Vibration, Control and Fuzzy Analysis of Structural Systems by : Bilal M. Ayyub

Download or read book Uncertainty Modeling in Vibration, Control and Fuzzy Analysis of Structural Systems written by Bilal M. Ayyub and published by World Scientific. This book was released on 1997 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview of the current state of uncertainty modeling in vibration, control, and fuzzy analysis of structural and mechanical systems. It is a coherent compendium written by leading experts and offers the reader a sampling of exciting research areas in several fast-growing branches in this field. Uncertainty modeling and analysis are becoming an integral part of system definition and modeling in many fields. The book consists of ten chapters that report the work of researchers, scientists and engineers on theoretical developments and diversified applications in engineering systems. They deal with modeling for vibration, control, and fuzzy analysis of structural and mechanical systems under uncertain conditions. The book designed for readers who are familiar with the fundamentals and wish to study a particular topic or use the book as an authoritative reference. It gives readers a sophisticated toolbox for tackling modeling problems in mechanical and structural systems in real-world situations. The book is part of a series on Stability, Vibration and Control of Structures, and provides vital information in these areas.

Nonlinear Dynamics and Chaos

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Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Nonlinear and Stochastic Climate Dynamics

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Author : Christian L. E. Franzke
Publisher : Cambridge University Press
ISBN 13 : 1316883213
Total Pages : 612 pages
Book Rating : 4.3/5 (168 download)

Book Synopsis Nonlinear and Stochastic Climate Dynamics by : Christian L. E. Franzke

Download or read book Nonlinear and Stochastic Climate Dynamics written by Christian L. E. Franzke and published by Cambridge University Press. This book was released on 2017-01-19 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is now widely recognized that the climate system is governed by nonlinear, multi-scale processes, whereby memory effects and stochastic forcing by fast processes, such as weather and convective systems, can induce regime behavior. Motivated by present difficulties in understanding the climate system and to aid the improvement of numerical weather and climate models, this book gathers contributions from mathematics, physics and climate science to highlight the latest developments and current research questions in nonlinear and stochastic climate dynamics. Leading researchers discuss some of the most challenging and exciting areas of research in the mathematical geosciences, such as the theory of tipping points and of extreme events including spatial extremes, climate networks, data assimilation and dynamical systems. This book provides graduate students and researchers with a broad overview of the physical climate system and introduces powerful data analysis and modeling methods for climate scientists and applied mathematicians.

Stochastic Dynamics of Structures

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Author : Jie Li
Publisher : John Wiley & Sons
ISBN 13 : 0470824255
Total Pages : 426 pages
Book Rating : 4.4/5 (78 download)

Book Synopsis Stochastic Dynamics of Structures by : Jie Li

Download or read book Stochastic Dynamics of Structures written by Jie Li and published by John Wiley & Sons. This book was released on 2009-07-23 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Nonlinear Dynamics

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Author : George Datseris
Publisher : Springer Nature
ISBN 13 : 3030910326
Total Pages : 243 pages
Book Rating : 4.0/5 (39 download)

Book Synopsis Nonlinear Dynamics by : George Datseris

Download or read book Nonlinear Dynamics written by George Datseris and published by Springer Nature. This book was released on 2022-03-13 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.

Dynamics of Stochastic Systems

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Author : Valery I. Klyatskin
Publisher : Elsevier
ISBN 13 : 008050485X
Total Pages : 211 pages
Book Rating : 4.0/5 (85 download)

Book Synopsis Dynamics of Stochastic Systems by : Valery I. Klyatskin

Download or read book Dynamics of Stochastic Systems written by Valery I. Klyatskin and published by Elsevier. This book was released on 2005-03-17 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. The well known example of Brownian particle suspended in fluid and subjected to random molecular bombardment laid the foundation for modern stochastic calculus and statistical physics. Other important examples include turbulent transport and diffusion of particle-tracers (pollutants), or continuous densities (''oil slicks''), wave propagation and scattering in randomly inhomogeneous media, for instance light or sound propagating in the turbulent atmosphere.Such models naturally render to statistical description, where the input parameters and solutions are expressed by random processes and fields.The fundamental problem of stochastic dynamics is to identify the essential characteristics of system (its state and evolution), and relate those to the input parameters of the system and initial data.This raises a host of challenging mathematical issues. One could rarely solve such systems exactly (or approximately) in a closed analytic form, and their solutions depend in a complicated implicit manner on the initial-boundary data, forcing and system's (media) parameters . In mathematical terms such solution becomes a complicated "nonlinear functional" of random fields and processes.Part I gives mathematical formulation for the basic physical models of transport, diffusion, propagation and develops some analytic tools.Part II sets up and applies the techniques of variational calculus and stochastic analysis, like Fokker-Plank equation to those models, to produce exact or approximate solutions, or in worst case numeric procedures. The exposition is motivated and demonstrated with numerous examples.Part III takes up issues for the coherent phenomena in stochastic dynamical systems, described by ordinary and partial differential equations, like wave propagation in randomly layered media (localization), turbulent advection of passive tracers (clustering).Each chapter is appended with problems the reader to solve by himself (herself), which will be a good training for independent investigations.·This book is translation from Russian and is completed with new principal results of recent research.·The book develops mathematical tools of stochastic analysis, and applies them to a wide range of physical models of particles, fluids, and waves.·Accessible to a broad audience with general background in mathematical physics, but no special expertise in stochastic analysis, wave propagation or turbulence

Hydro-Environmental Analysis

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Author : James L. Martin
Publisher : CRC Press
ISBN 13 : 1138000868
Total Pages : 5742 pages
Book Rating : 4.1/5 (38 download)

Book Synopsis Hydro-Environmental Analysis by : James L. Martin

Download or read book Hydro-Environmental Analysis written by James L. Martin and published by CRC Press. This book was released on 2013-12-04 with total page 5742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on fundamental principles, Hydro-Environmental Analysis: Freshwater Environments presents in-depth information about freshwater environments and how they are influenced by regulation. It provides a holistic approach, exploring the factors that impact water quality and quantity, and the regulations, policy and management methods that are necessary to maintain this vital resource. It offers a historical viewpoint as well as an overview and foundation of the physical, chemical, and biological characteristics affecting the management of freshwater environments. The book concentrates on broad and general concepts, providing an interdisciplinary foundation. The author covers the methods of measurement and classification; chemical, physical, and biological characteristics; indicators of ecological health; and management and restoration. He also considers common indicators of environmental health; characteristics and operations of regulatory control structures; applicable laws and regulations; and restoration methods. The text delves into rivers and streams in the first half and lakes and reservoirs in the second half. Each section centers on the characteristics of those systems and methods of classification, and then moves on to discuss the physical, chemical, and biological characteristics of each. In the section on lakes and reservoirs, it examines the characteristics and operations of regulatory structures, and presents the methods commonly used to assess the environmental health or integrity of these water bodies. It also introduces considerations for restoration, and presents two unique aquatic environments: wetlands and reservoir tailwaters. Written from an engineering perspective, the book is an ideal introduction to the aquatic and limnological sciences for students of environmental science, as well as students of environmental engineering. It also serves as a reference for engineers and scientists involved in the management, regulation, or restoration of freshwater environments.

Scientific and Technical Aerospace Reports

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Author :
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.:/5 (31 download)

Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

European Control Conference 1995

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Author :
Publisher : European Control Association
ISBN 13 :
Total Pages : 878 pages
Book Rating : 4./5 ( download)

Book Synopsis European Control Conference 1995 by :

Download or read book European Control Conference 1995 written by and published by European Control Association. This book was released on 1995-09-05 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the European Control Conference 1995, Rome, Italy 5-8 September 1995

Selected Water Resources Abstracts

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Author :
Publisher :
ISBN 13 :
Total Pages : 1140 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Selected Water Resources Abstracts by :

Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1986 with total page 1140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the ... Annual Conference of the IEEE Industrial Electronics Society

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Author : IEEE Industrial Electronics Society. Conference
Publisher :
ISBN 13 :
Total Pages : 1072 pages
Book Rating : 4.:/5 (31 download)

Book Synopsis Proceedings of the ... Annual Conference of the IEEE Industrial Electronics Society by : IEEE Industrial Electronics Society. Conference

Download or read book Proceedings of the ... Annual Conference of the IEEE Industrial Electronics Society written by IEEE Industrial Electronics Society. Conference and published by . This book was released on 2004 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the international conference "“NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS”

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Author : Yaroslav D. Sergeyev
Publisher : Luigi Pellegrini Editore
ISBN 13 : 8868220334
Total Pages : 153 pages
Book Rating : 4.8/5 (682 download)

Book Synopsis Proceedings of the international conference "“NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS” by : Yaroslav D. Sergeyev

Download or read book Proceedings of the international conference "“NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS” written by Yaroslav D. Sergeyev and published by Luigi Pellegrini Editore. This book was released on 2013-06-27 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains Proceedings of the International Conference and Summer School NUMTA-2013 “Numerical Computations: Theory and Algorithms”. The Conference is organized jointly by the University of Calabria, Italy, and by the N.I. Lobachevsky State University of Nizhni Novgorod, Russia in cooperation with the Society for Industrial and Applied Mathematics (SIAM), USA. The goal of the Conference is to create a multidisciplinary round table for an open discussion on numerical modeling nature by using traditional and emerging computational paradigms. The Conference discusses all aspects of numerical computations and modeling from foundations and philosophy to advanced numerical techniques. New technological challenges and fundamental ideas from theoretical computer science, linguistic, logic, set theory, and philosophy meet requirements and new fresh applications from physics, chemistry, biology, and economy.

Applied Mechanics Reviews

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Author :
Publisher :
ISBN 13 :
Total Pages : 968 pages
Book Rating : 4.:/5 (31 download)

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Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1976 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Stochastic Differential Equations

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Author : Simo Särkkä
Publisher : Cambridge University Press
ISBN 13 : 1316510085
Total Pages : 327 pages
Book Rating : 4.3/5 (165 download)

Book Synopsis Applied Stochastic Differential Equations by : Simo Särkkä

Download or read book Applied Stochastic Differential Equations written by Simo Särkkä and published by Cambridge University Press. This book was released on 2019-05-02 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

Energy Research Abstracts

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Author :
Publisher :
ISBN 13 :
Total Pages : 608 pages
Book Rating : 4.:/5 (3 download)

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Download or read book Energy Research Abstracts written by and published by . This book was released on 1979 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Selected Water Resources Abstracts

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Author :
Publisher :
ISBN 13 :
Total Pages : 984 pages
Book Rating : 4.:/5 (319 download)

Book Synopsis Selected Water Resources Abstracts by :

Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1987 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: