Time-asymptotic Behavior of Solutions of Systems of Conservative Differential Equations and of Measure-preserving Transformations

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Time-asymptotic Behavior of Solutions of Systems of Conservative Differential Equations and of Measure-preserving Transformations by : Christian Marchal

Download or read book Time-asymptotic Behavior of Solutions of Systems of Conservative Differential Equations and of Measure-preserving Transformations written by Christian Marchal and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Three-Body Problem

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Publisher : Elsevier
ISBN 13 : 0444600744
Total Pages : 593 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis The Three-Body Problem by : C. Marchal

Download or read book The Three-Body Problem written by C. Marchal and published by Elsevier. This book was released on 2012-12-02 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent research on the theory of perturbations, the analytical approach and the quantitative analysis of the three-body problem have reached a high degree of perfection. The use of electronics has aided developments in quantitative analysis and has helped to disclose the extreme complexity of the set of solutions. This accelerated progress has given new orientation and impetus to the qualitative analysis that is so complementary to the quantitative analysis. The book begins with the various formulations of the three-body problem, the main classical results and the important questions and conjectures involved in this subject. The main part of the book describes the remarkable progress achieved in qualitative analysis which has shed new light on the three-body problem. It deals with questions such as escapes, captures, periodic orbits, stability, chaotic motions, Arnold diffusion, etc. The most recent tests of escape have yielded very impressive results and border very close on the true limits of escape, showing the domain of bounded motions to be much smaller than was expected. An entirely new picture of the three-body problem is emerging, and the book reports on this recent progress. The structure of the solutions for the three-body problem lead to a general conjecture governing the picture of solutions for all Hamiltonian problems. The periodic, quasi-periodic and almost-periodic solutions form the basis for the set of solutions and separate the chaotic solutions from the open solutions.

Hamiltonian Dynamical Systems

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Publisher : CRC Press
ISBN 13 : 100011208X
Total Pages : 797 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Hamiltonian Dynamical Systems by : R.S MacKay

Download or read book Hamiltonian Dynamical Systems written by R.S MacKay and published by CRC Press. This book was released on 2020-08-17 with total page 797 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical mechanics is a subject that is teeming with life. However, most of the interesting results are scattered around in the specialist literature, which means that potential readers may be somewhat discouraged by the effort required to obtain them. Addressing this situation, Hamiltonian Dynamical Systems includes some of the most significant papers in Hamiltonian dynamics published during the last 60 years. The book covers bifurcation of periodic orbits, the break-up of invariant tori, chaotic behavior in hyperbolic systems, and the intricacies of real systems that contain coexisting order and chaos. It begins with an introductory survey of the subjects to help readers appreciate the underlying themes that unite an apparently diverse collection of articles. The book concludes with a selection of papers on applications, including in celestial mechanics, plasma physics, chemistry, accelerator physics, fluid mechanics, and solid state mechanics, and contains an extensive bibliography. The book provides a worthy introduction to the subject for anyone with an undergraduate background in physics or mathematics, and an indispensable reference work for researchers and graduate students interested in any aspect of classical mechanics.

R & D Abstracts

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Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis R & D Abstracts by : Technology Reports Centre (Great Britain)

Download or read book R & D Abstracts written by Technology Reports Centre (Great Britain) and published by . This book was released on 1978 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Behavior and Stability Problems in Ordinary Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3642856713
Total Pages : 282 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Asymptotic Behavior and Stability Problems in Ordinary Differential Equations by : Lamberto Cesari

Download or read book Asymptotic Behavior and Stability Problems in Ordinary Differential Equations written by Lamberto Cesari and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call" qualitative theory of differential equations". The purpose of the present volume is to present many of the view points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to the original papers. Some traditional topics such as the Sturm comparison theory have been omitted. Also excluded were all those papers, dealing with special differential equations motivated by and intended for the applications.

Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations

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Publisher : Springer Nature
ISBN 13 : 3030412911
Total Pages : 240 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations by : Grigorij Kulinich

Download or read book Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations written by Grigorij Kulinich and published by Springer Nature. This book was released on 2020-04-29 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to unstable solutions of stochastic differential equations (SDEs). Despite the huge interest in the theory of SDEs, this book is the first to present a systematic study of the instability and asymptotic behavior of the corresponding unstable stochastic systems. The limit theorems contained in the book are not merely of purely mathematical value; rather, they also have practical value. Instability or violations of stability are noted in many phenomena, and the authors attempt to apply mathematical and stochastic methods to deal with them. The main goals include exploration of Brownian motion in environments with anomalies and study of the motion of the Brownian particle in layered media. A fairly wide class of continuous Markov processes is obtained in the limit. It includes Markov processes with discontinuous transition densities, processes that are not solutions of any Itô's SDEs, and the Bessel diffusion process. The book is self-contained, with presentation of definitions and auxiliary results in an Appendix. It will be of value for specialists in stochastic analysis and SDEs, as well as for researchers in other fields who deal with unstable systems and practitioners who apply stochastic models to describe phenomena of instability.

International Aerospace Abstracts

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ISBN 13 :
Total Pages : 1240 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis International Aerospace Abstracts by :

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1977 with total page 1240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Analysis Of Differential Equations (Revised Edition)

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Publisher : World Scientific
ISBN 13 : 1911298593
Total Pages : 432 pages
Book Rating : 4.9/5 (112 download)

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Book Synopsis Asymptotic Analysis Of Differential Equations (Revised Edition) by : White Roscoe B

Download or read book Asymptotic Analysis Of Differential Equations (Revised Edition) written by White Roscoe B and published by World Scientific. This book was released on 2010-08-16 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives the practical means of finding asymptotic solutions to differential equations, and relates WKB methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory to one another. The construction of integral solutions and analytic continuation are used in conjunction with the asymptotic analysis, to show the interrelatedness of these methods. Some of the functions of classical analysis are used as examples, to provide an introduction to their analytic and asymptotic properties, and to give derivations of some of the important identities satisfied by them. The emphasis is on the various techniques of analysis: obtaining asymptotic limits, connecting different asymptotic solutions, and obtaining integral representation.

Asymptotic Analysis for Functional Stochastic Differential Equations

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Publisher : Springer
ISBN 13 : 3319469797
Total Pages : 159 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Asymptotic Analysis for Functional Stochastic Differential Equations by : Jianhai Bao

Download or read book Asymptotic Analysis for Functional Stochastic Differential Equations written by Jianhai Bao and published by Springer. This book was released on 2016-11-19 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into consideration and the effect of delays cannot be ignored. Concentrating on such systems that are described by functional stochastic differential equations, this work focuses on the study of large time behavior, in particular, ergodicity.This brief is written for probabilists, applied mathematicians, engineers, and scientists who need to use delay systems and functional stochastic differential equations in their work. Selected topics from the brief can also be used in a graduate level topics course in probability and stochastic processes.

Asymptotic Issues For Some Partial Differential Equations (Second Edition)

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Publisher : World Scientific
ISBN 13 : 9811290458
Total Pages : 283 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Asymptotic Issues For Some Partial Differential Equations (Second Edition) by : Michel Marie Chipot

Download or read book Asymptotic Issues For Some Partial Differential Equations (Second Edition) written by Michel Marie Chipot and published by World Scientific. This book was released on 2024-04-15 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary focus of the book is to explore the asymptotic behavior of problems formulated within cylindrical structures. Various physical applications are discussed, with certain topics such as fluid flows in channels being particularly noteworthy. Additionally, the book delves into the relevance of elasticity in the context of cylindrical bodies.In specific scenarios where the size of the cylinder becomes exceptionally large, the material's behavior is determined solely by its cross-section. The investigation centers around understanding these particular properties.Since the publication of the first edition, several significant advancements have been made, adding depth and interest to the content. Consequently, new sections have been incorporated into the existing edition, complemented by a comprehensive list of references.

Asymptotic and Stationary Preserving Schemes for Kinetic and Hyperbolic Partial Differential Equations

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Publisher : BoD – Books on Demand
ISBN 13 : 3958262104
Total Pages : 154 pages
Book Rating : 4.9/5 (582 download)

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Book Synopsis Asymptotic and Stationary Preserving Schemes for Kinetic and Hyperbolic Partial Differential Equations by : Farah Kanbar

Download or read book Asymptotic and Stationary Preserving Schemes for Kinetic and Hyperbolic Partial Differential Equations written by Farah Kanbar and published by BoD – Books on Demand. This book was released on 2023-05-09 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we are interested in numerically preserving stationary solutions of balance laws. We start by developing finite volume well-balanced schemes for the system of Euler equations and the system of Magnetohydrodynamics (MHD) equations with gravitational source term. Since fluid models and kinetic models are related, this leads us to investigate Asymptotic Preserving (AP) schemes for kinetic equations and their ability to preserve stationary solutions. In an attempt to mimic our result for kinetic equations in the context of fluid models, for the isentropic Euler equations we developed an AP scheme in the limit of the Mach number going to zero. The properties of the schemes we developed and its criteria are validated numerically by various test cases from the literature.

Asymptotic Behavior of Solutions of Model Problems for a Coupled System

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Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.:/5 (39 download)

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Book Synopsis Asymptotic Behavior of Solutions of Model Problems for a Coupled System by : Sai Lai Shao

Download or read book Asymptotic Behavior of Solutions of Model Problems for a Coupled System written by Sai Lai Shao and published by . This book was released on 1989 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Treatment of Differential Equations

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Publisher : CRC Press
ISBN 13 : 9780412558603
Total Pages : 282 pages
Book Rating : 4.5/5 (586 download)

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Book Synopsis Asymptotic Treatment of Differential Equations by : A. Georgescu

Download or read book Asymptotic Treatment of Differential Equations written by A. Georgescu and published by CRC Press. This book was released on 1995-05-15 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main definitions and results of asymptotic analysis and the theory of regular and singular perturbations are summarized in this book. They are applied to the asymptotic study of several mathematical models from mechanics, fluid dynamics, statistical mechanics, meteorology and elasticity. Due to the generality of presentation this applications-oriented book is suitable for the solving of differential equations from any other field of interest.

Asymptotic Methods in the Theory of Stochastic Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821898253
Total Pages : 362 pages
Book Rating : 4.8/5 (982 download)

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Book Synopsis Asymptotic Methods in the Theory of Stochastic Differential Equations by : A. V. Skorokhod

Download or read book Asymptotic Methods in the Theory of Stochastic Differential Equations written by A. V. Skorokhod and published by American Mathematical Soc.. This book was released on 2009-01-07 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ergodic theorems: General ergodic theorems Densities for transition probabilities and resolvents for Markov solutions of stochastic differential equations Ergodic theorems for one-dimensional stochastic equations Ergodic theorems for solutions of stochastic equations in $R^d$ Asymptotic behavior of systems of stochastic equations containing a small parameter: Equations with a small right-hand side Processes with rapid switching Averaging over variables for systems of stochastic differential equations Stability. Linear systems: Stability of sample paths of homogeneous Markov processes Linear equations in $R^d$ and the stochastic semigroups connected with them. Stability Stability of solutions of stochastic differential equations Linear stochastic equations in Hilbert space. Stochastic semigroups. Stability: Linear equations with bounded coefficients Strong stochastic semigroups with second moments Stability Bibliography

Nuclear Science Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1048 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1967 with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Aeronautical Journal

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Publisher :
ISBN 13 :
Total Pages : 666 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Aeronautical Journal by :

Download or read book The Aeronautical Journal written by and published by . This book was released on 1977 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Behavior of Monodromy

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Publisher : Springer
ISBN 13 : 9783540550099
Total Pages : 142 pages
Book Rating : 4.5/5 (5 download)

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Book Synopsis Asymptotic Behavior of Monodromy by : Carlos Simpson

Download or read book Asymptotic Behavior of Monodromy written by Carlos Simpson and published by Springer. This book was released on 1991-12-11 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns the question of how the solution of a system of ODE's varies when the differential equation varies. The goal is to give nonzero asymptotic expansions for the solution in terms of a parameter expressing how some coefficients go to infinity. A particular classof families of equations is considered, where the answer exhibits a new kind of behavior not seen in most work known until now. The techniques include Laplace transform and the method of stationary phase, and a combinatorial technique for estimating the contributions of terms in an infinite series expansion for the solution. Addressed primarily to researchers inalgebraic geometry, ordinary differential equations and complex analysis, the book will also be of interest to applied mathematicians working on asymptotics of singular perturbations and numerical solution of ODE's.