Viktor Levandovskyy Limit cycles bifurcations in two-dimensional systems of ODEs and connected problems
Home
CV
Research
Teaching
(For) Students
Publications
Projects
Conferences
My SINGULAR
Songs

Limit cycles bifurcations in two-dimensional 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 time-reversibility 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: Springer-Verlag, 1979.
J. Murdock. Normal Forms and Unfoldings for Local Dynamical Systems. New York: Springer-Verlag, 2003.
V. G. Romanovski and D. S. Shafer, The Center and Cyclicity Problems. A Computational Algebra Approach, Boston-Basel-Berlin: Birkhauser, 2009.
The last item can borrowed from me or my colleagues in 64/228.
RWTH Aachen University Division of Mathematics Lehrstuhl D für Mathematik