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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
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Overview Thu, 21. Oct. 2010, 15:15 -- 16:45, HS V.
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Lyapunov functions Mo, 25. Oct. 2010, 15:30 -- 17:00, HS
III |
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Normal Forms Wed, 27. Oct. 2010, 14:00 --
15:30, HS V |
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Invariants and
time-reversibility in polynomial systems of ODEs Mo, 13. Dec. 2010, 15:00 -- 16:30, LDfM |
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The Cyclicity problem for
polynomial systems of ODEs Wed, 15. Dec. 2010, 14:00 -- 15:30, LDfM |
Literature:
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Y. N. Bibikov. Local Theory of Nonlinear Analytic Ordinary
Differential Equations. Lecture Notes in Mathematics, Vol. 702. New York: Springer-Verlag, 1979. |
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J. Murdock. Normal Forms and Unfoldings for Local Dynamical
Systems. New York: Springer-Verlag, 2003. |
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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.
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