CHANGE OF TITLE for Dynamical Systems seminar of 1 February

[math]

Please note change of title!
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M A T H E M A T I C S   S E M I N A R S   2011

- DYNAMICAL SYSTEMS -



Tuesday, 1 February, at 14:00 hrs.


Dr. Benito Pires
(University of Sao Paulo, Brazil)


"Vector Fields whose linearisation is Hurwitz almost everywhere"

Abstract:
A real matrix is Hurwitz if its eigenvalues have negative real parts. 
The talk is about the following generalisation of the Bidimensional 
Global Asymptotic Stability Problem (BGAS): Let X be a C^1 planar vector 
field whose derivative DX(p) is Hurwitz for almost all point p in the 
plane. Then the singularity set of X, Sing(X), is either an emptyset, a 
one-point set or a non-discrete set. Moreover, if Sing(X) contains a 
hyperbolic singularity then X is topologically equivalent to the radial 
vector field (x,y)->(-x,-y). This generalises BGAS to the case in which 
the vector field is not necessarily a local diffeomorphism. Joint work 
with Roland Rabanal.


VENUE: Luigi Stasi Seminar Room
(ICTP Leonardo da Vinci Building, first floor)