WORKSHOP ON DYNAMICAL SYSTEMS

Lleida, Thursday 11 – Friday 12 of January 2024
Organized by Isaac A. García, Jaume Giné, Maite Grau and Susanna Maza

This workshop is dedicated to Professor Jaume Giné on occasion of his 60th birthday.

This workshop is a meeting of several researchers that work on dynamical systems and are closely related to Professor Jaume Giné. The main interest of the workshop is the qualitative theory of planar vector fields, continuous and discrete, and related topics, as the bifurcation analysis, limit cycles, periodic limit sets, singularities, desingularization, algebraic invariant curves, integrability, center – focus problem, isochronous centers, period maps, finite cyclicity, foliations, etc. The aim of the workshop is two-fold: to survey recent progress made in this field and to explore new directions.

All the conferences will be of half an hour and will be given in Spanish or English.

Fourth Symposium on Planar Vector Fields

PARTICIPANTS

Confirmed invited speakers:

A. Buica, I.A. García, A. Gasull, J. Giné, M. Grau, J. Llibre, V. Mañosa, S. Maza, E. Ponce, A.L. Rodero, J. Torregrosa, P. Torres, Yang Xiao.

Participants Four Symposium

PHOTOS OF THE EVENT

         

GENERAL INFORMATION

Location:

The talks of the workshop will take place at Room 1.04 of Escola Politècnica Superior, Universitat de Lleida, Avinguda Jaume II, 69 (in front of the river Segre), 25001 Lleida.

Lunches and coffee breaks:

Lunches and coffee breaks will take place at «Cafeteria», floor -1 in the building next to the Escola Politècnica Superior, Avinguda Jaume II, 71 (in front of the river Segre).

Dinners will take place at Hotel Zenit.

Accomodation:

Hotel Zenit (https://lleida.zenithoteles.com/es)

C/General Brito, 21, 25007 Lleida, España.
Tlf. +34 973 229 191 | Fax: +34 973 229 190
lleida@zenithoteles.com

Map of Lleida

Map of the city of Lleida

How to arrive:

If you arrive at the airport of Barcelona, you can go to Terminal 2 and:
– pick up the train from the airport to Sants Station at Barcelona. There is a train every 30 minutes. In Sants Station you can take the train to Lleida.
– or pick up a direct bus from Barcelona airport to Lleida. There are few buses whose timetable can be checked at http://www.alsa.es/

In case you arrive at the airport of Barcelona, Terminal 1, you can take a free bus which gets to Terminal 2.
In the following link you can find a time table for the trains from Barcelona to Lleida and vice versa:
http://www.renfe.es/horarios/index.html

In the following link you can find a time table for the buses from Barcelona (Estació del Nord) to Lleida and vice versa: http://www.alsa.es/

WORKSHOP PROGRAM

(Conference Room: 1.04 EPS)

THURSDAY 11th FRIDAY 12th
9:30 – 10:00
J. Llibre A. Gasull
10:10 – 10:40 E. Ponce P. Torres
COFFEE BREAK
11:10 – 11:40 A. Buica V. Mañosa
11:50 – 12:20 J. Torregrosa I.A. García
12:30 – 13:00 Yang Xiao J. Giné
  Group photo
LUNCH
15:00 – 15:30 A.L. Rodero
15:40 – 16:10 M. Grau
Social activity

 

Titles and abstracts

A. Buica, Universitatea Babes-Bolyai, Romania.
Isochronous Hill equations. ABSTRACT

I.A. García, Departament de Matemàtica, Universitat de Lleida.
Principal Bautin ideal of monodromic singularities with inverse integrating factors. ABSTRACT  SLIDES

A. Gasull, Departament de Matemàtiques, Universitat Autònoma de Barcelona and Centre de Recerca Matemàtica.
Limit cycles for fewnomial differential equations. ABSTRACT  SLIDES

J. Giné, Universitat de Lleida.
The Poincaré map at monodromic singularities of planar vector fields. ABSTRACT SLIDES

M. Grau, Universitat de Lleida.
Isochronous centers of real planar polynomial quadratic-like Hamiltonian systems. ABSTRACT

V. Mañosa, Universitat Politècnica de Catalunya.
Grafos invariantes y dinámica de una família de aplicaciones lineales a trozos. ABSTRACT SLIDES

J. Llibre, Universitat Autònoma de Barcelona.
On the distribution of the zeros of some polynomial maps $(P,Q)\colon \R^2 \to \R^2$. ABSTRACT SLIDES

E. Ponce, Universidad de Sevilla.
Recurrencia de órbitas en un sistema lineal a trozos en 3D. ABSTRACT  SLIDES

A.L. Rodero, ICMC/USP, Sao Carlos, Brazil.
3−dimensional smooth and piecewise smooth vector fields with invariant spheres. ABSTRACT  SLIDES

J. Torregrosa, Departament de Matemàtiques, Universitat Autònoma de Barcelona..
Criticality via first order development of the period constants. ABSTRACT SLIDES

P. Torres, Departamento de Matemática Aplicada II. Universidad de Sevilla.
Formas normales en sistemas discontinuos. ABSTRACT  SLIDES

Yang Xiao.
A new spectral problem and the related integrable nonlinear evolution equations. ABSTRACT  SLIDES