Dynamical Systems and Evolution Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1468410369
Total Pages : 244 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Dynamical Systems and Evolution Equations by : John A. Walker

Download or read book Dynamical Systems and Evolution Equations written by John A. Walker and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a nine-month course first given during 1976-77 in the Division of Engineering Mechanics, University of Texas (Austin), and repeated during 1977-78 in the Department of Engineering Sciences and Applied Mathematics, Northwestern University. Most of the students were in their second year of graduate study, and all were familiar with Fourier series, Lebesgue integration, Hilbert space, and ordinary differential equa tions in finite-dimensional space. This book is primarily an exposition of certain methods of topological dynamics that have been found to be very useful in the analysis of physical systems but appear to be well known only to specialists. The purpose of the book is twofold: to present the material in such a way that the applications-oriented reader will be encouraged to apply these methods in the study of those physical systems of personal interest, and to make the coverage sufficient to render the current research literature intelligible, preparing the more mathematically inclined reader for research in this particular area of applied mathematics. We present only that portion of the theory which seems most useful in applications to physical systems. Adopting the view that the world is deterministic, we consider our basic problem to be predicting the future for a given physical system. This prediction is to be based on a known equation of evolution, describing the forward-time behavior of the system, but it is to be made without explicitly solving the equation.

Dynamical Systems and Evolution Equations

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Publisher :
ISBN 13 : 9781468410372
Total Pages : 248 pages
Book Rating : 4.4/5 (13 download)

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Book Synopsis Dynamical Systems and Evolution Equations by : John A. Walker

Download or read book Dynamical Systems and Evolution Equations written by John A. Walker and published by . This book was released on 2014-01-15 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Evolution Equations and Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642840396
Total Pages : 247 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Nonlinear Evolution Equations and Dynamical Systems by : Sandra Carillo

Download or read book Nonlinear Evolution Equations and Dynamical Systems written by Sandra Carillo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Evolution Equations and Dynamical Systems (NEEDS) provides a presentation of the state of the art. Except for a few review papers, the 40 contributions are intentially brief to give only the gist of the methods, proofs, etc. including references to the relevant litera- ture. This gives a handy overview of current research activities. Hence, the book should be equally useful to the senior resercher as well as the colleague just entering the field. Keypoints treated are: i) integrable systems in multidimensions and associated phenomenology ("dromions"); ii) criteria and tests of integrability (e.g., Painlev test); iii) new developments related to the scattering transform; iv) algebraic approaches to integrable systems and Hamiltonian theory (e.g., connections with Young-Baxter equations and Kac-Moody algebras); v) new developments in mappings and cellular automata, vi) applications to general relativity, condensed matter physics, and oceanography.

Evolution Semigroups in Dynamical Systems and Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821811851
Total Pages : 375 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Evolution Semigroups in Dynamical Systems and Differential Equations by : Carmen Chicone

Download or read book Evolution Semigroups in Dynamical Systems and Differential Equations written by Carmen Chicone and published by American Mathematical Soc.. This book was released on 1999 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of the book is the spectral theory for evolution operators and evolution semigroups, a subject tracing its origins to the classical results of J. Mather on hyperbolic dynamical systems and J. Howland on nonautonomous Cauchy problems. The authors use a wide range of methods and offer a unique presentation. The authors give a unifying approach for a study of infinite-dimensional nonautonomous problems, which is based on the consistent use of evolution semigroups. This unifying idea connects various questions in stability of semigroups, infinite-dimensional hyperbolic linear skew-product flows, translation Banach algebras, transfer operators, stability radii in control theory, Lyapunov exponents, magneto-dynamics and hydro-dynamics. Thus the book is much broader in scope than existing books on asymptotic behavior of semigroups. Included is a solid collection of examples from different areas of analysis, PDEs, and dynamical systems. This is the first monograph where the spectral theory of infinite dimensional linear skew-product flows is described together with its connection to the multiplicative ergodic theorem; the same technique is used to study evolution semigroups, kinematic dynamos, and Ruelle operators; the theory of stability radii, an important concept in control theory, is also presented. Examples are included and non-traditional applications are provided.

A Stability Technique for Evolution Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461220505
Total Pages : 388 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis A Stability Technique for Evolution Partial Differential Equations by : Victor A. Galaktionov

Download or read book A Stability Technique for Evolution Partial Differential Equations written by Victor A. Galaktionov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations. * Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear PDEs. * Well-organized text with detailed index and bibliography, suitable as a course text or reference volume.

Nonlinear Evolution Equations and Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642761720
Total Pages : 256 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Nonlinear Evolution Equations and Dynamical Systems by : Vladimir G. Makhankov

Download or read book Nonlinear Evolution Equations and Dynamical Systems written by Vladimir G. Makhankov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 6th International Workshop, 16-26 July 1990, Dubna, USSR

Differential Equations and Dynamical Systems

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Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173195884
Total Pages : 246 pages
Book Rating : 4.1/5 (958 download)

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Book Synopsis Differential Equations and Dynamical Systems by : D. Bahuguna

Download or read book Differential Equations and Dynamical Systems written by D. Bahuguna and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fifteen chapters from eminent researchers working in the area of differential equations and dynamical systems covering all relevant subjects, ranging from wavelets and their applications, to second order evolution equations.

Nonlinear Evolution Equations and Dynamical Systems

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Publisher :
ISBN 13 : 9789163102622
Total Pages : 311 pages
Book Rating : 4.1/5 (26 download)

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Book Synopsis Nonlinear Evolution Equations and Dynamical Systems by : Workshop NEEDS"99

Download or read book Nonlinear Evolution Equations and Dynamical Systems written by Workshop NEEDS"99 and published by . This book was released on 2001 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics of Evolutionary Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1475750374
Total Pages : 680 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Dynamics of Evolutionary Equations by : George R. Sell

Download or read book Dynamics of Evolutionary Equations written by George R. Sell and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. This book serves as an entrée for scholars beginning their journey into the world of dynamical systems, especially infinite dimensional spaces. The main approach involves the theory of evolutionary equations.

Differential Dynamical Systems, Revised Edition

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Publisher : SIAM
ISBN 13 : 161197464X
Total Pages : 392 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Differential Dynamical Systems, Revised Edition by : James D. Meiss

Download or read book Differential Dynamical Systems, Revised Edition written by James D. Meiss and published by SIAM. This book was released on 2017-01-24 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.? Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts?flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. This new edition contains several important updates and revisions throughout the book. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple?, Mathematica?, and MATLAB? software to give students practice with computation applied to dynamical systems problems.

Infinite-Dimensional Dynamical Systems in Mechanics and Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461206456
Total Pages : 670 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Infinite-Dimensional Dynamical Systems in Mechanics and Physics by : Roger Temam

Download or read book Infinite-Dimensional Dynamical Systems in Mechanics and Physics written by Roger Temam and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.

Nonlinear Evolution Equations and Dynamical Systems

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Publisher : Springer
ISBN 13 : 9783540519836
Total Pages : 233 pages
Book Rating : 4.5/5 (198 download)

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Book Synopsis Nonlinear Evolution Equations and Dynamical Systems by : Sandra Carillo

Download or read book Nonlinear Evolution Equations and Dynamical Systems written by Sandra Carillo and published by Springer. This book was released on 1990-05-30 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Fifth Workshop on Nonlinear Evolution Equations and Dynamical Systems took place July 2-16, 1989 in Crete at the Orthodox Academy"--Pref.

Data-Driven Science and Engineering

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Publisher : Cambridge University Press
ISBN 13 : 1009098489
Total Pages : 615 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Data-Driven Science and Engineering by : Steven L. Brunton

Download or read book Data-Driven Science and Engineering written by Steven L. Brunton and published by Cambridge University Press. This book was released on 2022-05-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

Nonlinear Evolution Equations And Dynamical Systems Needs '94

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Publisher : World Scientific
ISBN 13 : 9814549428
Total Pages : 406 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Nonlinear Evolution Equations And Dynamical Systems Needs '94 by : Vladimir G Makhankov

Download or read book Nonlinear Evolution Equations And Dynamical Systems Needs '94 written by Vladimir G Makhankov and published by World Scientific. This book was released on 1995-04-26 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Abstract Parabolic Evolution Equations and their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642046312
Total Pages : 594 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Abstract Parabolic Evolution Equations and their Applications by : Atsushi Yagi

Download or read book Abstract Parabolic Evolution Equations and their Applications written by Atsushi Yagi and published by Springer Science & Business Media. This book was released on 2009-11-03 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is intended to present the fundamentals of the theory of abstract parabolic evolution equations and to show how to apply to various nonlinear dif- sion equations and systems arising in science. The theory gives us a uni?ed and s- tematic treatment for concrete nonlinear diffusion models. Three main approaches are known to the abstract parabolic evolution equations, namely, the semigroup methods, the variational methods, and the methods of using operational equations. In order to keep the volume of the monograph in reasonable length, we will focus on the semigroup methods. For other two approaches, see the related references in Bibliography. The semigroup methods, which go back to the invention of the analytic se- groups in the middle of the last century, are characterized by precise formulas representing the solutions of the Cauchy problem for evolution equations. The ?tA analytic semigroup e generated by a linear operator ?A provides directly a fundamental solution to the Cauchy problem for an autonomous linear e- dU lution equation, +AU =F(t), 0

Nonlinear Evolution Equations & Dynamical Systems

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Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810222192
Total Pages : 390 pages
Book Rating : 4.2/5 (221 download)

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Book Synopsis Nonlinear Evolution Equations & Dynamical Systems by : Alan R. Bishop

Download or read book Nonlinear Evolution Equations & Dynamical Systems written by Alan R. Bishop and published by World Scientific Publishing Company Incorporated. This book was released on 1995 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Evolution Equations And Infinite Dimensional Dynamical Systems - Proceedings Of The Conference

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Publisher : World Scientific
ISBN 13 : 9814546429
Total Pages : 286 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Nonlinear Evolution Equations And Infinite Dimensional Dynamical Systems - Proceedings Of The Conference by : Tatsien Li

Download or read book Nonlinear Evolution Equations And Infinite Dimensional Dynamical Systems - Proceedings Of The Conference written by Tatsien Li and published by World Scientific. This book was released on 1997-01-04 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 30 research papers presenting the recent development and trend on the following subjects: nonlinear hyperbolic equations (systems); nonlinear parabolic equations (systems); infinite-dimensional dynamical systems; applications (free boundary problems, phase transitions, etc.).