Presentation Name: The calculation of pure imaginary eigenvalues of large sparse matrices with application to the detection of Hopf Bifurcations
Presenter: Professor Alastair Spence
Date: 2009-11-10
Location: 光华东主楼1801
Abstract:

The detection of a Hopf bifurcation in a large scale dynamical system that depends on a physical parameter often consists of attempting to compute pure imaginary eigenvalues of large sparse matrices.

In this talk we describe a new method that utilises a certain sum of Kronecker products but in practice requires the solution of a sequence of Lyapunov equations with low rank right hand sides. It is this last fact that makes the method feasible for large systems.

Annual Speech Directory: No.111

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