Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems

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  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2000-05-01

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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

Numerical bifurcation techniques for chemical reactor problemsp. 1
Path-following of large bifurcation problems with iterative methodsp. 37
On the bifurcation from continuous to segmented chip formation in metal cuttingp. 67
Using dynamical system tools in Matlabp. 85
Formation and instabilities of coherent structures in channel flowsp. 115
Applications of smooth orthogonal factorizations of matricesp. 141
Continuation of codimension-2 equilibrium bifurcations in CONTENTp. 163
Inclination-flips in the unfolding of a singular heteroclinic cyclep. 185
Investigating torus bifurcations in the forced Van der Pol oscillatorp. 199
Quasiperiodic response to parametric excitationsp. 209
Self-organized criticality: analysis and simulation of a 1D sandpilep. 229
Computation and bifurcation analysis of periodic solutions of large-scale systemsp. 265
Multiple equilibria and stability of the north-atlantic wind-driven ocean circulationp. 303
Numerical exploration of bifurcation phenomena associated with complex instabilityp. 319
Chaos in traveling waves of lattice systems of unbounded mediap. 327
Pattern formation in a cellular slime moldp. 359
Global parametrization and computation of resonance surfaces for periodically forced oscillatorsp. 385
Computing invariant tori and circles in dynamical systemsp. 407
A Design problem for image processingp. 439
Bifurcation analysis for timesteppersp. 453
List of participantsp. 467
Table of Contents provided by Blackwell. All Rights Reserved.

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