Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems

by Doedel, E.

• ISBN13: 9780387989709
• ISBN10: 0387989706
• Edition: 1st
• Format: Hardcover
• Copyright: 2000-05-01
• Publisher: SPRINGER VERLAG INC

Summary

Based on lectures given at the first two workshops held as part of the 1997-1998 IMA Academic Year on Emerging Applications of Dynamical Systems. DLC: Differential equations.

Table of Contents

Foreword
Preface
Numerical bifurcation techniques for chemical reactor problems	p. 1
Path-following of large bifurcation problems with iterative methods	p. 37
On the bifurcation from continuous to segmented chip formation in metal cutting	p. 67
Using dynamical system tools in Matlab	p. 85
Formation and instabilities of coherent structures in channel flows	p. 115
Applications of smooth orthogonal factorizations of matrices	p. 141
Continuation of codimension-2 equilibrium bifurcations in CONTENT	p. 163
Inclination-flips in the unfolding of a singular heteroclinic cycle	p. 185
Investigating torus bifurcations in the forced Van der Pol oscillator	p. 199
Quasiperiodic response to parametric excitations	p. 209
Self-organized criticality: analysis and simulation of a 1D sandpile	p. 229
Computation and bifurcation analysis of periodic solutions of large-scale systems	p. 265
Multiple equilibria and stability of the north-atlantic wind-driven ocean circulation	p. 303
Numerical exploration of bifurcation phenomena associated with complex instability	p. 319
Chaos in traveling waves of lattice systems of unbounded media	p. 327
Pattern formation in a cellular slime mold	p. 359
Global parametrization and computation of resonance surfaces for periodically forced oscillators	p. 385
Computing invariant tori and circles in dynamical systems	p. 407
A Design problem for image processing	p. 439
Bifurcation analysis for timesteppers	p. 453
List of participants	p. 467
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