SÉMINAIRE DE MATHÉMATIQUES SUPÉRIEURES
NATO ADVANCED STUDY INSTITUTE |
Normal Forms, Bifurcations, and Finiteness Problems in Differential Equations
July 8 - 19, 2002
Lecturers:
A. BOLIBRUKH (Steklov, Moscow)
The Riemann-Hilbert type problems for linear differential equations in the complex domain
F. DUMORTIER (Limburg)
Topics on singularities and bifurcations of vector fields
J. ÉCALLE (Paris-Sud XI, Orsay)
Recent advances in the analysis of divergence and singularities
J.-P. FRANÇOISE (Paris VI)
Local bifurcations of limit cycles, Abel equations and Liénard systems.
A. GABRIELOV (Purdue)
Complexity of computations with Pfaffian and Noetherian functions.
V. GELFREICH (Freie Univ. Berlin)
Hamiltonian bifurcations and local analytic classification
A. GLUTSUK (É.N.S. Lyon)
Confluence of singular points and Stokes phenomena
J. GUCKENHEIMER (Cornell)
Bifurcations of relaxation oscillations
Y. ILYASHENKO ( Independent and Moscow State / Cornell )
Dynamical systems with real and complex time: problems and results
V. KALOSHIN (Courant Inst.)
Rate of growth of the number of periodic points for generic dynamical systems
R. ROUSSARIE (Dijon)
Methods for the cyclicity problem
C. ROUSSEAU (Montréal)
Finiteness problems for limit cycles of planar vector fields and related problems
D. SCHLOMIUK (Montréal)
Aspects of planar polynomial vector fields: global versus local, real versus complex, analytic versus algebraic and geometric
S. YAKOVENKO (Weizmann)
Quantitative theory of differential equations
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