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Bifurcations of nonlinear control systems on the plane

Applied Math

Speaker: W. Respondek, INSA de Rouen, France
Location: 693 Kerr
Start time: Wed, Oct 16 2002, 2:00PM

We study bifurcations of control-affine systems in the plane. We classify all generic 1-parameter bifurcations of control systems, more precisely, topological bifurcations of invariants of usual feedback equivalence. Such bifurcations form six different classes: two bifurcations of equilibrium sets, two bifurcations of critical sets and two bifurcations of pairs of invariants. We also classify all generic 1-parameter families of control-affine systems.