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On Locating Homoclinic And Heteroclinic Orbits


On Locating Homoclinic And Heteroclinic Orbits
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On Locating Homoclinic And Heteroclinic Orbits


On Locating Homoclinic And Heteroclinic Orbits
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Author : Eusebius J. Doedel
language : en
Publisher:
Release Date : 1993

On Locating Homoclinic And Heteroclinic Orbits written by Eusebius J. Doedel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Continuation methods categories.




Accurate Computation And Continuation Of Homoclinic And Heteroclinic Orbits For Singular Perturbation Problems


Accurate Computation And Continuation Of Homoclinic And Heteroclinic Orbits For Singular Perturbation Problems
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Author :
language : en
Publisher:
Release Date : 1993

Accurate Computation And Continuation Of Homoclinic And Heteroclinic Orbits For Singular Perturbation Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.




Homoclinic And Heteroclinic Orbits For A Class Of 4 Dimensional Hamiltonian Systems


Homoclinic And Heteroclinic Orbits For A Class Of 4 Dimensional Hamiltonian Systems
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Author : Konstantin Michael Mischaikow
language : en
Publisher:
Release Date : 1985

Homoclinic And Heteroclinic Orbits For A Class Of 4 Dimensional Hamiltonian Systems written by Konstantin Michael Mischaikow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.




Accurate Computation And Continuation Of Homoclinic And Heteroclinic Orbits For Singular Perturbation Problems


Accurate Computation And Continuation Of Homoclinic And Heteroclinic Orbits For Singular Perturbation Problems
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-02

Accurate Computation And Continuation Of Homoclinic And Heteroclinic Orbits For Singular Perturbation Problems written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-02 with categories.


In earlier papers, Doedel and the authors have developed a numerical method and derived error estimates for the computation of branches of heteroclinic orbits for a system of autonomous ordinary differential equations in R(exp n). The idea of the method is to reduce a boundary value problem on the real line to a boundary value problem on a finite interval by using a local (linear or higher order) approximation of the stable and unstable manifolds. A practical limitation for the computation of homoclinic and heteroclinic orbits has been the difficulty in obtaining starting orbits. Typically these were obtained from a closed form solution or via a homotopy from a known solution. Here we consider extensions of our algorithm which allow us to obtain starting orbits on the continuation branch in a more systematic way as well as make the continuation algorithm more flexible. In applications, we use the continuation software package AUTO in combination with some initial value software. The examples considered include computation of homoclinic orbits in a singular perturbation problem and in a turbulent fluid boundary layer in the wall region problem. Vaughan, William W. and Friedman, Mark J. and Monteiro, Anand C. Unspecified Center...



Scientific Computing In Chemical Engineering Ii


Scientific Computing In Chemical Engineering Ii
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Author : Frerich Keil
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-05-19

Scientific Computing In Chemical Engineering Ii written by Frerich Keil 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 1999-05-19 with Computers categories.


The application of modern methods in numerical mathematics on problems in chemical engineering is essential for designing, analyzing and running chemical processes and even entire plants. Scientific Computing in Chemical Engineering II gives the state of the art from the point of view of numerical mathematicians as well as that of engineers. The present volume as part of a two-volume edition covers topics such as computer-aided process design, combustion and flame, image processing, optimization, control, and neural networks. The volume is aimed at scientists, practitioners and graduate students in chemical engineering, industrial engineering and numerical mathematics.



Handbook Of Dynamical Systems


Handbook Of Dynamical Systems
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Author : H. Broer
language : en
Publisher: Elsevier
Release Date : 2010-11-10

Handbook Of Dynamical Systems written by H. Broer and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-10 with Mathematics categories.


In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the so-called Kupka-Smale theorem, the Closing Lemma and generic local bifurcations of functions (so-called catastrophe theory) and generic local bifurcations in 1-parameter families of dynamical systems, and notions of structural stability and moduli. Covers recent literature on various topics related to the theory of bifurcations of differentiable dynamical systems Highlights developments that are the foundation for future research in this field Provides material in the form of surveys, which are important tools for introducing the bifurcations of differentiable dynamical systems



International Conference On Differential Equations Berlin Germany 1 7 August 1999


International Conference On Differential Equations Berlin Germany 1 7 August 1999
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Author : Bernold Fiedler
language : en
Publisher: World Scientific
Release Date : 2000

International Conference On Differential Equations Berlin Germany 1 7 August 1999 written by Bernold Fiedler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.


This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences.



Elements Of Applied Bifurcation Theory


Elements Of Applied Bifurcation Theory
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Author : Yuri A. Kuznetsov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Elements Of Applied Bifurcation Theory written by Yuri A. Kuznetsov 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 2013-03-09 with Mathematics categories.


A solid basis for anyone studying the dynamical systems theory, providing the necessary understanding of the approaches, methods, results and terminology used in the modern applied-mathematics literature. Covering the basic topics in the field, the text can be used in a course on nonlinear dynamical systems or system theory. Special attention is given to efficient numerical implementations of the developed techniques, illustrated by several examples from recent research papers. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used, making this book suitable for advanced undergraduate or graduate students in applied mathematics, as well as for researchers in other disciplines who use dynamical systems as model tools in their studies.



Mathematical Modeling


Mathematical Modeling
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Author : Rutherford Aris
language : en
Publisher: Elsevier
Release Date : 1999-07-16

Mathematical Modeling written by Rutherford Aris and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07-16 with Mathematics categories.


Mathematical modeling is the art and craft of building a system of equations that is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. Mathematical Modeling: A Chemical Engineer's Perspective provides an elementary introduction to the craft by one of the century's most distinguished practitioners. Though the book is written from a chemical engineering viewpoint, the principles and pitfalls are common to all mathematical modeling of physical systems. Seventeen of the author's frequently cited papers are reprinted to illustrate applications to convective diffusion, formal chemical kinetics, heat and mass transfer, and the philosophy of modeling. An essay of acknowledgments, asides, and footnotes captures personal reflections on academic life and personalities. Describes pitfalls as well as principles of mathematical modeling Presents twenty examples of engineering problems Features seventeen reprinted papers Presents personal reflections on some of the great natural philosophers Emphasizes modeling procedures that precede extensive calculations



An Exploration Of Dynamical Systems And Chaos


An Exploration Of Dynamical Systems And Chaos
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Author : John H. Argyris
language : en
Publisher: Springer
Release Date : 2015-04-24

An Exploration Of Dynamical Systems And Chaos written by John H. Argyris and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-24 with Technology & Engineering categories.


This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics. This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures. "This book will be of valuable help for my lectures" Hermann Haken, Stuttgart "This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, Würzburg “This well written book represents a comprehensive treatise on dynamical systems. It may serve as reference book for the whole field of nonlinear and chaotic systems and reports in a unique way on scientific developments of recent decades as well as important applications.” Joachim Peinke, Institute of Physics, Carl-von-Ossietzky University Oldenburg, Germany