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Numerical Methods for Bifurcation Problems

Proceedings of the Conference at the University of Dortmund, August 22–26, 1983

Editors

T. Küpper0, H. D. Mittelmann1, H. Weber2 T. Küpper Abt. Mathematik, Universität Dortmund, Dortmund 50, Germany
View editor publications You can also search for this editor in PubMed Google Scholar H. D. Mittelmann Abt. Mathematik, Universität Dortmund, Dortmund 50, Germany
View editor publications You can also search for this editor in PubMed Google Scholar H. Weber Rechenzentrum, Johannes Gutenberg-Universität, Mainz 1, Germany
View editor publications You can also search for this editor in PubMed Google Scholar Part of the book series: International Series of Numerical Mathematics (ISNM, volume 70) 2498 Accesses 276 Citations

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Table of contents Keywords Editors and Affiliations Bibliographic Information

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Table of contents 40 papers

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Front Matter

Pages 1-13 PDF

Bifurcations Arising in the Calculation of Critical Points via Homotopy Methods

Eugene L. Allgower Pages 15-28

Approximation of Hopf Bifurcation for Semilinear Parabolic Equations

C. Bernardi, J. Rappaz Pages 29-41

Defining Equations for Singular Solutions and Numerical Applications

W.-J. Beyn Pages 42-56

Organizing Centers for Discrete Reaction Diffusion Models

E. Bohl, Dr. W.-J. Beyn Pages 57-67

Discrete Versus Continuous Models for Dissipative Systems

E. Bohl Pages 68-78

Real and Ghost Bifurcation Dynamics in Difference Schemes for ODEs

F. Brezzi, S. Ushiki, H. Fujii Pages 79-104

The Use of Extrapolation for the solution of Bifurcation Problems

R. Caluwaerts Pages 105-115

Techniques for Large Sparae Systems Arising from Continuation Methods

Tony F. Chan Pages 116-128

The Calculation of High Order Singularities in the Finite Taylor Problem

K. A. Cliffe, A. Spence Pages 129-144

On Hopf and Subharmonic Bifurcations

Jean Descloux Pages 145-161

Quadratically Appended Linear Models for Locating Generalized Turning Points

A. Griewank Pages 162-170

Hysteresis in a Model for Parasitic Infection

K. P. Hadeler Pages 171-180

Continuation of Periodic Solutions in Ordinary Differential Equations — Numerical Algorithm and Application to Lorenz Model

Martin Holodniok, Milan Kubíček Pages 181-194

Singular Points and their Computation

A. D. Jepson, A. Spence Pages 195-209

On a General Technique for Finding Directions Proceeding from Bifurcation Points

Ralph Baker Kearfott Pages 210-218

Steady State and Periodic Solution Paths their Bifurcations and Computations

A. D. Jepson, H. B. Keller Pages 219-246

Numerical Deterkination of Bifurcation Points in Steady State and Periodic Solutions — Numerical Algorithms and Examples

M. Kubíček, M. Holodniok Pages 247-270

Feedback Stimulated Bifurcation*

Tassilo Küpper, Boguslav Kuszta Pages 271-284

Numerical Studies of Torus Bifurcations

W. F. Langford Pages 285-295 Back to top

Keywords

MathematikNumeriknumerische MathematikUniversitätuniversity Back to top

Editors and Affiliations

Abt Mathematik Universität Dortmund Dortmund 50 Germany

T. Küpper, H. D. Mittelmann

Rechenzentrum Johannes Gutenberg-Universität Mainz 1 Germany

H. Weber Back to top

Bibliographic Information

Book Title: Numerical Methods for Bifurcation Problems Book Subtitle: Proceedings of the Conference at the University of Dortmund, August 22–26, 1983 Editors T. Küpper, H. D. Mittelmann, H. Weber Series Title: International Series of Numerical Mathematics DOI: https://doi.org/10.1007/978-3-0348-6256-1 Publisher: Birkhäuser Basel eBook Packages: Springer Book Archive Copyright Information: Springer Basel AG 1984 Softcover ISBN: 978-3-0348-6257-8 eBook ISBN: 978-3-0348-6256-1 Series ISSN: 0373-3149 Series E-ISSN: 2296-6072 Edition Number: 1 Number of Pages: 584 Number of Illustrations: 108 b/w illustrations Topics: Humanities and Social Sciences Back to top Access via your institution

Buying options

eBook USD 54.99 Price excludes VAT (USA) ISBN: 978-3-0348-6256-1 Instant PDF download Readable on all devices Own it forever Exclusive offer for individuals only Tax calculation will be finalised during checkout Buy eBook Softcover Book USD 69.99 Price excludes VAT (USA) ISBN: 978-3-0348-6257-8 Dispatched in 3 to 5 business days Exclusive offer for individuals only Free shipping worldwide
Shipping restrictions may apply, check to see if you are impacted. Tax calculation will be finalised during checkout Buy Softcover Book Learn about institutional subscriptions