Numerical Analysis and Scientific Computing Seminar

Multiple Eigenvalues in Stability Analysis

Speaker: Oleg Kirillov, Helmholtz-Zentrum Dresden-Rossendorf

Location: Warren Weaver Hall 1302

Date: April 4, 2014, 10 a.m.

Synopsis:

Nothing special, right? Hamiltonian-Hopf bifurcation or the Krein collision is a typical association. Nevertheless, practitioners in engineering and physics think differently. They discuss why multiple complex eigenvalues can be precursors of blackouts and why an eigenvalue that drifted towards a positive growth rate with the increase of the Reynolds number suddenly changes its trajectory and dives back to the left part of the complex plane. Why double coffee-filter makes the wine glass singing? How robust stability can occur at the Swallowtail? This and more in my talk (with the answers).