Coalescing Singular Values of Matrices Depending on two ParametersandFundamental Matrix Solutions of Piecewise Smooth SystemsLuca DieciSchool of Mathematics, Georgia TechA mini
course at Helsinki University of Technology,

Lecture 1: Coalescing singular values of matrices depending on two parametersIt is well understood that there are bifurcations phenomena for systems depending on several parameters which cannot be observed, generically, by freezing one parameter at a time. One notable example is coalescing of singular values for real matrices that depend smoothly on two parameters. In this talk we review the main features of this phenomenon. In particular,
Lecture 2: Fundamental Matrix Solutions of Piecewise Smooth SystemsWe consider the fundamental matrix solution associated to piecewise smooth differential systems of Filippov type, in which the vector field varies discontinuously as solution trajectories reach one or more surfaces. We consider the cases of transversal intersection and of sliding motion on one surface. We also study fundamental matrices when sliding motion takes place on the intersection of two or more surfaces.[Joint work with L.Lopez] Lectures:
Contact information: Professor Timo Eirola (Timo.Eirola@tkk.fi) Assistant Kurt Baarman (Kurt.Baarman@tkk.fi) 