Title: The computation of purely imaginary eigenvalues with application to the detection of Hopf bifurcations in large scale problems
Authors: Meerbergen, Karl # ×
Issue Date: 26-Oct-2009
Publisher: SIAM
Host Document: SIAM Conference on Applied Linear Algebra
Conference: SIAM Conference on Applied Linear Algebra location:Monterey date:26-29 October 2009
Abstract: The determination of Hopf bifurcations of a dynamical system is often a challenging problem. The goal is to compute the system parameter values for which the system has purely imaginary eigenvalues. In this talk, we present a method that computes these parameter values without computing the imaginary eigenvalues themselves. The method is based on residual inverse iteration for a problem of squared dimension.
Publication status: published
KU Leuven publication type: IMa
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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