Arxiv
| Presentation Name： | The calculation of pure imaginary eigenvalues of large sparse matrices with application to the detection of Hopf Bifurcations |
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| 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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