Accurate Computation And Continuation Of Homoclinic And Heteroclinic Orbits For Singular Perturbation Problems
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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...
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.
Monthly Catalog Of United States Government Publications
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Author :
language : en
Publisher:
Release Date : 1994
Monthly Catalog Of United States Government Publications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Government publications categories.
Monthly Catalogue United States Public Documents
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Author :
language : en
Publisher:
Release Date : 1994
Monthly Catalogue United States Public Documents written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Government publications categories.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1993
Scientific And Technical Aerospace Reports 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 Aeronautics categories.
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.
Government Reports Annual Index
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Author :
language : en
Publisher:
Release Date : 199?
Government Reports Annual Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 199? with categories.
Fiscal Year 1993 Scientific And Technical Reports Articles Papers And Presentations
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Author :
language : en
Publisher:
Release Date : 1993
Fiscal Year 1993 Scientific And Technical Reports Articles Papers And Presentations 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.
Introduction To Applied Nonlinear Dynamical Systems And Chaos
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Author : Stephen Wiggins
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-18
Introduction To Applied Nonlinear Dynamical Systems And Chaos written by Stephen Wiggins 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 2006-04-18 with Mathematics categories.
This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik
Government Reports Announcements Index
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Author :
language : en
Publisher:
Release Date : 1993
Government Reports Announcements Index 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 Science categories.