Workshop on New Trends in Polynomial Differential Systems

September 3-7, 2019

Program

 

Tuesday, September 3, 2019

08:30 - 09:00
Registration (Room 5345) and Coffee & Croissants (Room 6245)


Meeting room(s) : 5340

09:00 - 09:50
Christiane Rousseau
(Université de Montréal)
Rational vector fields dz/dt = P(z)/Q(z) on $CP^1$
Abstract
09:50 - 10:40
Pei Yu
(Western University)
Existence of 12 small limit cycles around a singular point in a cubic polynomial system
Abstract
10:40 - 11:10
Coffee break
11:10 - 12:00
Francisco Braun
(Universidade Federal de São Carlos)
On polynomial submersions in the plane with applications
Abstract
12:00 - 14:00
Lunch break
14:00 - 14:50
Jean-Pierre Françoise
(Université P.-M. Curie)
Hilbert’s 16th problem on a period annulus and Nash space of arcs
Abstract
14:50 - 15:40
Armengol Gasull
(Universitat Autònoma de Barcelona)
A new approach for the study of the limit cycles of planar systems
Abstract
15:40 - 16:10
Coffee break
16:10 - 17:00
Alexander Brudnyi
(University of Calgary)
On centers of families of ordinary differential equations
Abstract
17:00 - 17:30
Yilei Tang
(Shanghai Jiao Tong University)
The research of limit cycles for the Higgins-Selkov system and the Selkov system
Abstract

 

Wednesday, September 4, 2019

08:30 - 09:00
Coffee & Croissants


Meeting room(s) : 5340

09:00 - 09:50
Joan Carles Artés
(Universitat Autonoma de Barcelona)
Global geometrical classification of singularities
Abstract
09:50 - 10:40
Xiang Zhang
(Shanghai Jiao Tong University)
Dynamics of complex planar polynomial Hamiltonian systems
Abstract
10:40 - 11:10
Coffee break
11:10 - 12:00
Dumitru V. Cozma
(Tiraspol State University)
The problem of the center for cubic differential systems with invariant algebraic curves
Abstract
12:00 - 14:00
Lunch break
14:00 - 14:50
Yulij Ilyashenko
(National Research University Higher School of Economics)
Global bifurcation in two spheres
Abstract
14:50 - 15:40
Douglas D. Novaes
(Universidade Estadual de Campinas)
A new simple proof for the Lum-Chua Conjecture
Abstract
15:40 - 16:10
Coffee break
16:10 - 17:00
Valerij Romanovskij
(CAMTP, University of Maribor )
Time reversibility in polynomial systems of ODE’s
Abstract
17:00 - 17:30
Alex C. Rezende
(Universidade Federal de Sao Carlos )
Structurally unstable quadratic differential systems of codimension two: systems with a cusp point or two finite saddle-nodes
Abstract

 

Thursday, September 5, 2019

08:30 - 09:00
Coffee & Croissants


Meeting room(s) : 5340

09:00 - 09:50
Pablo Pedregal
(Universidad de Castilla-La Mancha)
Hilbert’s 16th problem: at last the solution?
Abstract
09:50 - 10:40
Dongmei Xiao
(Shanghai Jiao Tong University)
On the number of zeros of Abelian Integrals
Abstract
10:40 - 11:10
Coffee break
11:10 - 12:00
Andrei Gabrielov
(Purdue University)
Real solutions of the Painleve VI equation and special pentagons
Abstract
12:00 - 14:00
Lunch break
14:00 - 14:50
Colin Christopher
(University of Plymouth)
Some aspects of integrability in 2 and 3 dimensions
Abstract
14:50 - 15:40
Bernd Krauskopf
(University of Auckland)
Global manifolds and the transition to chaos in the Lorenz system
Abstract
15:40 - 16:10
Coffee break
16:10 - 17:00
Dmitry Novikov
(Weizmann Institute of Science)
Complex cellular structures
Abstract
17:00 - 17:30
Jiang Yu
(Shanghai Jiao Tong University)
On the number of limit cycles by the Melnikov function of higher order
Abstract

 

Friday, September 6, 2019

08:30 - 09:00
Coffee & Croissants


Meeting room(s) : 5340

09:00 - 09:50
Robert Roussarie
(Université de Bourgogne)
A topological study of planar vector field singularities
Abstract
09:50 - 10:40
Hinke Osinga
(The University of Auckland)
Intrinsic excitability and the role of saddle slow manifolds
Abstract
10:40 - 11:10
Coffee break
11:10 - 12:00
Joan Torregrosa
(Universitat Autònoma de Barcel)
Hilbert numbers for low degree systems
Abstract
12:00 - 14:00
Lunch break
14:00 - 14:50
Henryk Zoladek
(University of Warsaw)
Analytic properties of the complete normal form for the Bogdanov-Takens singularity
Abstract
14:50 - 15:40
Rafel Prohens
(Universitat de les Illes Balears)
Cyclicity of 2-saddle connection in a discontinuous piecewise linear differential system
Abstract
15:40 - 16:10
Coffee break
16:10 - 17:00
Regilene D. S. Oliveira
(Universidade de São Paulo)
On planar quadratic differential systems with invariant algebraic curves
Abstract

 

Saturday, September 7, 2019

08:30 - 09:00
Coffee & Croissants


Meeting room(s) : 5340

09:00 - 09:50
Lubomir Gavrilov
(Université Paul Sabatier)
Irreducible components of the variety of centers of plane polynomial vector fields of degree at most d
Abstract
09:50 - 10:40
Antonio Teruel
(Universitat de les Illes Balears)
Saddle-node canard cycles in a PWL version of the FitzHuhg-Nagumo system
Abstract
10:40 - 11:10
Coffee break
11:10 - 12:00
Jordi Villadelprat
(Universitat Rovira i Virgili)
Dulac time for families of hyperbolic saddle singularities
Abstract