

Limit cycles bifurcations in twodimensional systems of ODEs and connected
problems. A compact course by Prof. Valery Romanovski
. Supported by the Graduiertenkolleg "Experimentelle und konstruktive Algebra"
Schedule :
Here is
Here is the
announcement and syllabus

Overview Thu, 21. Oct. 2010, 15:15  16:45, HS V.


Lyapunov functions Mo, 25. Oct. 2010, 15:30  17:00, HS
III 

Normal Forms Wed, 27. Oct. 2010, 14:00 
15:30, HS V 

Invariants and
timereversibility in polynomial systems of ODEs Mo, 13. Dec. 2010, 15:00  16:30, LDfM 

The Cyclicity problem for
polynomial systems of ODEs Wed, 15. Dec. 2010, 14:00  15:30, LDfM 
Literature:

Y. N. Bibikov. Local Theory of Nonlinear Analytic Ordinary
Differential Equations. Lecture Notes in Mathematics, Vol. 702. New York: SpringerVerlag, 1979. 

J. Murdock. Normal Forms and Unfoldings for Local Dynamical
Systems. New York: SpringerVerlag, 2003. 

V. G. Romanovski and D. S. Shafer, The Center and Cyclicity
Problems. A Computational Algebra Approach, BostonBaselBerlin: Birkhauser,
2009. 
The last item can borrowed from me or my colleagues in 64/228.
