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Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. Eusebius Doedel

    1. Applied Math 217-50, California Institute of Technology, Pasadena, USA

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  2. Laurette S. Tuckerman

    1. Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur (LIMSI), Orsay, France

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 119)

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Table of contents (20 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Numerical Bifurcation Techniques for Chemical Reactor Problems

    • V. Balakotaiah, J. Khinast
    Pages 1-36

  3. Path-Following of Large Bifurcation Problems with Iterative Methods

    • K. Böhmer, Z. Mei, A. Schwarzer, R. Sebastian
    Pages 37-65

  4. On the Bifurcation from Continuous to Segmented Chip Formation in Metal Cutting

    • T. J. Burns, M. A. Davies, C. J. Evans
    Pages 67-83

  5. Using Dynamical System Tools in Matlab

    • Won Gyu Choe, J. Guckenheimer
    Pages 85-113

  6. Formation and Instabilities of Coherent Structures in Channel Flows

    • Katie Coughlin
    Pages 115-140

  7. Applications of Smooth Orthogonal Factorizations of Matrices

    • Luca Dieci, Timo Eirola
    Pages 141-162

  8. Continuation of Codimension-2 Equilibrium Bifurcations in Content

    • W. Govaerts, Yu A. Kuznetsov, B. Sijnave
    Pages 163-184

  9. Inclination-Flips in the Unfolding of a Singular Heteroclinic Cycle

    • Ale Jan Homburg
    Pages 185-198

  10. Investigating Torus Bifurcations in the Forced Van Der Pol Oscillator

    • Bernd Krauskopf, Hinke M. Osinga
    Pages 199-208

  11. Quasiperiodic Response to Parametric Excitations

    • J. M. Lopez, F. Marques
    Pages 209-227

  12. Self-Organized Criticality: Analysis and Simulation of a 1D Sandpile

    • Jens Lorenz, Steven Jackett, Wangguo Qin
    Pages 229-264

  13. Computation and Bifurcation Analysis of Periodic Solutions of Large-Scale Systems

    • Kurt Lust, Dirk Roose
    Pages 265-301

  14. Multiple Equilibria and Stability of the North-Atlantic Wind-Driven Ocean Circulation

    • M. Jeroen Molemaker, Henk A. Dijkstra
    Pages 303-318

  15. Numerical Exploration of Bifurcation Phenomena Associated with Complex Instability

    • Mercè Ollé
    Pages 319-326

  16. Chaos in Traveling Waves of Lattice Systems of Unbounded Media

    • D. R. Orendovici, Ya B. Pesin
    Pages 327-358

  17. Pattern Formation in a Cellular Slime Mold

    • H. G. Othmer, B. Lilly, J. C. Dallon
    Pages 359-383

  18. Global Parametrization and Computation of Resonance Surfaces for Periodically Forced Oscillators

    • Bruce B. Peckham
    Pages 385-405

  19. Computing Invariant Tori and Circles in Dynamical Systems

    • Volker Reichelt
    Pages 407-437

  20. A Design Problem for Image Processing

    • R. Seydel
    Pages 439-452
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Keywords

Editors and Affiliations

  • Applied Math 217-50, California Institute of Technology, Pasadena, USA

    Eusebius Doedel

  • Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur (LIMSI), Orsay, France

    Laurette S. Tuckerman

Bibliographic Information

  • Book Title: Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems

  • Editors: Eusebius Doedel, Laurette S. Tuckerman

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4612-1208-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2000

  • Hardcover ISBN: 978-0-387-98970-9Published: 17 March 2000

  • Softcover ISBN: 978-1-4612-7044-7Published: 30 October 2012

  • eBook ISBN: 978-1-4612-1208-9Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: X, 481

  • Topics: Analysis, Numerical Analysis

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