SÉMINAIRE DE MATHÉMATIQUES SUPÉRIEURES

NATO ADVANCED STUDY INSTITUTE

41st session
Département de mathématiques et de statistique
Université de Montréal

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




This Seminar is being held with financial support from the North Atlantic Treaty Organization, the Centre de recherches mathématiques, and the Université de Montréal.

The number of participants is limited. Participation of doctoral students and postdoctoral fellows is particularly encouraged.

Partial financial assistance will be available for some participants. Priority will be given to graduate students. Requests for participation or financial assistance must be received before February 28, 2002.

Single rooms (with hall bath) are available at the Résidences of the Université de Montréal. Room rates are 120$ CA per week (rate in 2001).

There is no registration fee. A contribution of 75$ CA is required for social affairs.

Organizing Committee: Y. Ilyashenko (Moscow/Cornell), S. Lessard (Montréal), R.Roussarie (Dijon), C. Rousseau (Montréal), G. Sabidussi (Montréal), S. Yakovenko (Weizmann).

Information and application form:

Ghislaine DAVID, coordinator
Séminaire de Mathématiques Supérieures
Université de Montréal
CP 6128, succ. "Centre-ville"
Montréal (Qc), Canada
H3C 3J7

T (514) 343-6710
F (514) 343-5700



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