Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems

Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems

Paperback(Softcover reprint of the original 1st ed. 2000)

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Product Details

ISBN-13: 9781461270447
Publisher: Springer New York
Publication date: 10/30/2012
Series: The IMA Volumes in Mathematics and its Applications , #119
Edition description: Softcover reprint of the original 1st ed. 2000
Pages: 481
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

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

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