Nonlinear Stochastic Systems Theory And Applications To Physics

Author : G. Adomian
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 40,5 Mb
Release : 1988-12-31
Category : Mathematics
ISBN : 9789027725257

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Nonlinear Stochastic Systems Theory and Applications to Physics by G. Adomian Pdf

Approach your problems from the right end and begin with the answers. Then one day, perhaps you will find the final answer. "The Hermit Clad In Crane Feathers" In R. van Gullk's The Chinese Haze Hurders. It Isn't that they can't see the solution. It IS that they can't see the problem. G. K. Chesterton. The Scandal of Father Brown. "The POint of a Pin." Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of k now ledge of m athemat i cs and re I ated fie I ds does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, COding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And In addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely Integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the eXisting classificatIOn schemes.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 43,8 Mb
Release : 1989
Category : Electronic
ISBN : OCLC:916210953

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Nonlinear Stochastic Systems Theory and its applications to physics by Anonim Pdf

Author : G. Adomian
Publisher : Springer
Page : 0 pages
File Size : 46,5 Mb
Release : 2001-12-14
Category : Mathematics
ISBN : 9400925697

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Nonlinear Stochastic Systems Theory and Applications to Physics by G. Adomian Pdf

Approach your problems from the right end and begin with the answers. Then one day, perhaps you will find the final answer. "The Hermit Clad In Crane Feathers" In R. van Gullk's The Chinese Haze Hurders. It Isn't that they can't see the solution. It IS that they can't see the problem. G. K. Chesterton. The Scandal of Father Brown. "The POint of a Pin." Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of k now ledge of m athemat i cs and re I ated fie I ds does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, COding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And In addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely Integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the eXisting classificatIOn schemes.

Author : V S Pugachev,I N Sinitsyn
Publisher : World Scientific Publishing Company
Page : 928 pages
File Size : 44,6 Mb
Release : 2002-01-02
Category : Electronic
ISBN : 9789813105881

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Stochastic Systems by V S Pugachev,I N Sinitsyn Pdf

This book presents the general theory and basic methods of linear and nonlinear stochastic systems (StS) i.e. dynamical systems described by stochastic finite- and infinite-dimensional differential, integral, integrodifferential, difference etc equations. The general StS theory is based on the equations for characteristic functions and functionals. The book outlines StS structural theory, including direct numerical methods, methods of normalization, equivalent linearization and parametrization of one- and multi-dimensional distributions, based on moments, quasimoments, semi-invariants and orthogonal expansions. Special attention is paid to methods based on canonical expansions and integral canonical representations. About 500 exercises and problems are provided. The authors also consider applications in mathematics and mechanics, physics and biology, control and information processing, operations research and finance.

Author : Bellomo Nicola,Riganti Ricardo
Publisher : World Scientific
Page : 260 pages
File Size : 47,9 Mb
Release : 1987-03-01
Category : Science
ISBN : 9789813104297

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Nonlinear Stochastic Systems In Physics And Mechanics by Bellomo Nicola,Riganti Ricardo Pdf

This book presents the conceptional line which goes from the observation of physical systems to their modeling and analysis by ordinary differential nonlinear stochastic equations.First, the problems of the mathematical modeling of physical systems are developed. These mathematical models are then classified in terms of ordinary differential stochastic equations from which both qualitative and quantitative results are developed.Each one of the various subjects are methods dealt with ends with an application in mathematical physics or in nonlinear mechanics.

Author : Michael Z. Zgurovsky,Pavlo O. Kasyanov
Publisher : Springer
Page : 240 pages
File Size : 46,6 Mb
Release : 2017-07-11
Category : Technology & Engineering
ISBN : 9783319598406

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Qualitative and Quantitative Analysis of Nonlinear Systems by Michael Z. Zgurovsky,Pavlo O. Kasyanov Pdf

Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.

Author : Vladimir Semenovich Pugachev,Igor? Nikolaevich Sinit?s?yn
Publisher : World Scientific
Page : 932 pages
File Size : 40,6 Mb
Release : 2001
Category : Mathematics
ISBN : 9810247427

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Stochastic Systems by Vladimir Semenovich Pugachev,Igor? Nikolaevich Sinit?s?yn Pdf

General theory and basic methods of linear and nonlinear stocastic systems (StS), based on the equations for characteristic functions and functionals.Special attention is paid to methods based on canonical expansions and integral canonical represntations.

Author : N. Bellomo,Riccardo Riganti
Publisher : Unknown
Page : 244 pages
File Size : 47,6 Mb
Release : 1957
Category : Electronic
ISBN : OCLC:37235693

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Nonlinear Stochastic Systems in Physics and Mechanics by N. Bellomo,Riccardo Riganti Pdf

Author : Bo Shen,Zidong Wang,Huisheng Shu
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 45,5 Mb
Release : 2013-01-06
Category : Technology & Engineering
ISBN : 9781447149149

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Nonlinear Stochastic Systems with Incomplete Information by Bo Shen,Zidong Wang,Huisheng Shu Pdf

Nonlinear Stochastic Processes addresses the frequently-encountered problem of incomplete information. The causes of this problem considered here include: missing measurements; sensor delays and saturation; quantization effects; and signal sampling. Divided into three parts, the text begins with a focus on H∞ filtering and control problems associated with general classes of nonlinear stochastic discrete-time systems. Filtering problems are considered in the second part, and in the third the theory and techniques previously developed are applied to the solution of issues arising in complex networks with the design of sampled-data-based controllers and filters. Among its highlights, the text provides: • a unified framework for filtering and control problems in complex communication networks with limited bandwidth; • new concepts such as random sensor and signal saturations for more realistic modeling; and • demonstration of the use of techniques such as the Hamilton–Jacobi–Isaacs, difference linear matrix, and parameter-dependent matrix inequalities and sums of squares to handle the computational challenges inherent in these systems. The collection of recent research results presented in Nonlinear Stochastic Processes will be of interest to academic researchers in control and signal processing. Graduate students working with communication networks with lossy information and control of stochastic systems will also benefit from reading the book.

Author : R H Kraichnan
Publisher : Legare Street Press
Page : 0 pages
File Size : 44,6 Mb
Release : 2023-07-18
Category : Electronic
ISBN : 1019568968

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Dynamics of Nonlinear Stochastic Systems by R H Kraichnan Pdf

In this classic of chaos theory, the late physicist R. H. Kraichnan explores the dynamics of nonlinear stochastic systems. From the mathematics of turbulence to the intricacies of fluid dynamics, Kraichnan's book is a tour-de-force of applied mathematics and physics. Whether you are a researcher, engineer, or mathematician, Dynamics of Nonlinear Stochastic Systems is an essential reference. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Kadtke,Bulsara
Publisher : American Inst. of Physics
Page : 374 pages
File Size : 54,6 Mb
Release : 1997-11-24
Category : Science
ISBN : 1563967367

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Applied Nonlinear Dynamics and Stochastic Systems Near the Millenium by Kadtke,Bulsara Pdf

It is clear from current applications in signal processing, lasers, molecular motors, and the control of biomedical anomalies, that nonlinear dynamics pervades systems that we deal with every day. This work discusses nonlinear phenomena in random environments, with a view to their implementation in real devices and applications. In addition, it gives greater exposure to younger, promising researchers who seldom are able to speak at international meetings, while also providing several review talks by established individuals. The book emphasizes applications of nonlinear dynamical systems theory in fields as diverse as neuroscience and biomedical engineering, fluids, chaos control, nonlinear signal/image processing, stochastic resonance, devices, and nonlinear dynamics in socioeconomic systems. In particular, presentations were chosen which described methods being actively implemented to solve real problems.

Author : Wolfgang Kliemann
Publisher : CRC Press
Page : 302 pages
File Size : 40,6 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9781351091954

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Nonlinear Dynamics and Stochastic Mechanics by Wolfgang Kliemann Pdf

Engineering systems have played a crucial role in stimulating many of the modern developments in nonlinear and stochastic dynamics. After 20 years of rapid progress in these areas, this book provides an overview of the current state of nonlinear modeling and analysis for mechanical and structural systems. This volume is a coherent compendium written by leading experts from the United States, Canada, Western and Eastern Europe, and Australia. The 22 articles describe the background, recent developments, applications, and future directions in bifurcation theory, chaos, perturbation methods, stochastic stability, stochastic flows, random vibrations, reliability, disordered systems, earthquake engineering, and numerics. The book gives readers a sophisticated toolbox that will allow them to tackle modeling problems in mechanical systems that use stochastic and nonlinear dynamics ideas. An extensive bibliography and index ensure this volume will remain a reference standard for years to come.

Author : N. Bellomo,Zdzislaw Brzezniak,L.M. de Socio
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401118200

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Nonlinear Stochastic Evolution Problems in Applied Sciences by N. Bellomo,Zdzislaw Brzezniak,L.M. de Socio Pdf

This volume deals with the analysis of nonlinear evolution problems described by partial differential equations having random or stochastic parameters. The emphasis throughout is on the actual determination of solutions, rather than on proving the existence of solutions, although mathematical proofs are given when this is necessary from an applications point of view. The content is divided into six chapters. Chapter 1 gives a general presentation of mathematical models in continuum mechanics and a description of the way in which problems are formulated. Chapter 2 deals with the problem of the evolution of an unconstrained system having random space-dependent initial conditions, but which is governed by a deterministic evolution equation. Chapter 3 deals with the initial-boundary value problem for equations with random initial and boundary conditions as well as with random parameters where the randomness is modelled by stochastic separable processes. Chapter 4 is devoted to the initial-boundary value problem for models with additional noise, which obey Ito-type partial differential equations. Chapter 5 is essential devoted to the qualitative and quantitative analysis of the chaotic behaviour of systems in continuum physics. Chapter 6 provides indications on the solution of ill-posed and inverse problems of stochastic type and suggests guidelines for future research. The volume concludes with an Appendix which gives a brief presentation of the theory of stochastic processes. Examples, applications and case studies are given throughout the book and range from those involving simple stochasticity to stochastic illposed problems. For applied mathematicians, engineers and physicists whose work involves solving stochastic problems.

Author : Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 52,6 Mb
Release : 2003-01-22
Category : Science
ISBN : 3540424199

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Nonlinear Dynamics of Chaotic and Stochastic Systems by Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier Pdf

Contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results. Despite the unified presentation of the subject, care has been taken to present the material in largely self-contained chapters.

Author : P.S Landa
Publisher : Springer Science & Business Media
Page : 550 pages
File Size : 53,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9789401587631

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Nonlinear Oscillations and Waves in Dynamical Systems by P.S Landa Pdf

A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years. These problems were all considered independently of one another. Therefore many of readers of these books do not suspect that the problems discussed are divisions of a great generalizing science - the theory of oscillations and waves. This science is not some branch of physics or mechanics, it is a science in its own right. It is in some sense a meta-science. In this respect the theory of oscillations and waves is closest to mathematics. In this book we call the reader's attention to the present-day theory of non-linear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified poin t of view . The relation between the theory of oscillations and waves, non-linear dynamics and synergetics is discussed. One of the purposes of this book is to convince reader of the necessity of a thorough study popular branches of of the theory of oscillat ions and waves, and to show that such science as non-linear dynamics, synergetics, soliton theory, and so on, are, in fact , constituent parts of this theory. The primary audiences for this book are researchers having to do with oscillatory and wave processes, and both students and post-graduate students interested in a deep study of the general laws and applications of the theory of oscillations and waves.