OP2024

Workshop on Periodic Orbits

Workshop on Periodic Orbits – OP2024

Workshop

From February 07, 2024
to February 09, 2024

Early Registration Fee - 50€ (deadline 12/01/2024 for registration and payment)

Late Registration Fee - 100€ (from 13/01/2024)

Registration deadline 29 / 01 / 2024

Registration*

Early Registration Fee – 50€ (until 12/01/2024)

Registration Fee – 100€

* Registration includes coffee breaks. Lunch is NOT included.

SCHEDULE

SLIDES

ORIGINAL WEBSITE

Introduction

The aim of this “Workshop on Periodic Orbits” is to present the recent advances and open problems in this research line. This is the second edition, the first was held in Tossa in 2008.

It is planned for the participation of around 40 researchers. The event aims to create a relaxed atmosphere, with few lectures and free time between them for fruitful discussions.

The talks will be in Spanish.

Organising Committee

Armengol Gasull | Universitat Autònoma de Barcelona
Victor Mañosa | Universitat Politècnica de Catalunya
Joan Torregrosa | Universitat Autònoma de Barcelona
Jordi Villadelprat | Universitat Autònoma de Barcelona

invited talks

More limit cycles for complex differential equations with three monomials
Maria J. Álvarez | Universitat de les Illes Balears

Hilbert number for a family of piecewise nonautonomous equations
Jose Luis Bravo | Universidad de Extremadura

Cercando el número máximo de ciclos límite en sistemas diferenciales lineales a trozos
Victoriano Carmona | Universidad de Sevilla

Grafos invariantes y dinámica discreta de una família de aplicaciones lineales a trozos
Anna Cima | Universitat Autònoma de Barcelona

Periodic orbits inside a tentacular geometry
Fátima Drubi | Universidad de Oviedo

Principal Bautin ideal of monodromic singularities with inverse integrating factors
Isaac García | Universitat de Lleida

On the periodicity of low-dimensional discrete dynamical systems
Antonio Linero | Universidad de Murcia

Equations of Duffing type with a finite number of periodic solutions
Rafael Ortega | Universidad de Granada

Funciones de Melnikov de order alto mediante normalizaciones
Jesús Palacián | Universidad Pública de Navarra

Oscillators at resonance
David Rojas | Universitat de Girona

Periodic solutions of a discontinuous second-order differential equation modelling the porpoising effect
Pedro Torres | Universidad de Granada

Dinámica de elipsoides de Riemann
Patricia Yanguas | Universidad Pública de Navarra

contributed talks

Melnikov analysis for a class of nonsmooth differential systems
Claudio Buzzi | Universidade Estadual Paulista

Topological entropy of piecewise smooth vector fields
Tiago Carvalho | Universidade de Sao Paulo

Boundaries of a basin of attraction of a map related to the secant method
Ernest Fontich | Universitat de Barcelona

On isochronous Hill’s equations
Armengol Gasull | Universidad Autònoma de Barcelona

Optimal control of neuronal oscillations with applications to Communication Through Coherence
Toni Guillamon | Universitat Politècnica de Catalunya

Sun-Jupiter-Saturn system may exist: a verified computation of quasiperiodic solutions for the planar three-body problem
Alex Haro | Universitat de Barcelona

Zero-Hopf equilibria in Hamiltonian systems
Jaume Llibre | Universitat Autònoma de Barcelona

Simultaneous cyclicity and alien limit cycles in the quadratic family
David Marin | Universitat Autònoma de Barcelona

Infinitesimal and tangential 16-th Hilbert problem on zero-cycles
Pavao Mardesic | Université de Bourgogne

The discontinuous matching of two globally asymptotically stable crossing piecewise smooth systems in the plane
Luis F. Mello | Universidade Federal de Itajubá

POSTERS

The dynamics of coupled logistic maps
Jose S. Cánovas | Universidad Politécnica de Cartagena

On the uniqueness of the isosceles trapezoidal central configuration in the 4-body problem for power-law potentials
Antonio C. Fernandes | Universidade Federal de Itajubá

Quadratic tangencies in the RPC4BP
Miguel Garrido | Universitat Autònoma de Barcelona

Hyperbolicity of renormalization for dissipative gap mappings
Marcio R.A. Gouvela |Universidade Estadual Paulista

Dynamics of the flows with constant slope on the cylinder and on the Möbius strip
Johana Jiménez | Universitat Autònoma de Barcelona

Crossing limit cycles bifurcating from period annuli in discontinuous planar piecewise linear Hamiltonian differential systems with three zones
Claudio G. Pessoa |Universidade Estadual Paulista

Existence and non-existence of Puiseux first integrals
Ana Livia Rodero | Universidade de Sao Paulo

On the number of limit cycles for piecewise holomorphic systems
Gabriel Rondón | Universidade Estadual Paulista

On the structural instability of non-hyperbolic limit cycles on planar polynomial vector fields
Paulo Santana | Universidade Estadual Paulista

POSTER SESSION

Participants have the option to contribute with a talk or a poster presentation if they wish to do so. The poster boards that are available at the CRM are DIN A0 format (1189×841 mm). Any poster size within these limits is fine.

To apply, please select the relevant option during the registration process.

Deadline for poster submission: January 7th, 2024.
We will inform you before January 10th of the selected posters.

LIST OF PARTICIPANTS

Name	Institution
Luis Fernando de Osório Mello	Universidade Federal de Itajubá
Antonio Carlos Fernandes	Federal University of Itajuba
Pavao Mardesic	Université de Bourgogne
Philip Pita	Universitat de Barcelona
Alejandro Haro Provinciale	Universitat de Barcelona
Ernest Fontich Julià	Universitat de Barcelona
Armengol Gasull	Universitat Autònoma de Barcelona
Jordi Villadelprat	Universitat Autònoma de Barcelona
Gabriel Alexis Rondón Vielma	Universitat Autònoma de Barcelona
Joan Torregrosa	Universitat Autònoma de Barcelona
David Rojas	Universitat Autònoma de Barcelona
Miguel Garrido	Universitat Autònoma de Barcelona
David Marín Pérez	Universitat Autònoma de Barcelona
Jaume Llibre	Universitat Autònoma de Barcelona
Teodoro Mayayo	Universitat Autònoma de Barcelona
Ana Maria Cima	Universitat Autònoma de Barcelona
Gerard Farré	Universitat Politècnica de Catalunya
Víctor Mañosa	Universitat Politècnica de Catalunya
Chara Pantazi	Universitat Politècnica de Catalunya
Antoni Guillamon Grabolosa	Universitat Politècnica de Catalunya
Esther Barrabés Vera	Universitat de Girona
Isaac A. García	Universitat de Lleida
José Luis Bravo Trinidad	Universidad de Extremadura
María Jesús Alvarez	Universitat de Les Illes Balears
Pedro Torres	Universidad de Granada
Rafael Ortega	Universidad de Granada
Antonio Linero Bas	Universidad de Murcia
Fátima Drubi Vega	Universidad de Oviedo
Victoriano Carmona	Universidad de Sevilla
José David Gutiérrez de Alba	Universidad de Zaragoza
Patricia Yanguas Sayas	Universidad Pública de Navarra
Jesús Francisco Palacián Subiela	Universidad Pública de Navarra
Jose Cánovas	Universidad Politécnica de Cartagena
Claudio Buzzi	UNESP
Márcio Gouveia	UNESP
Paulo Santana	UNESP
Claudio Pessoa	UNESP
Tiago Carvalho	University of São Paulo
Ana Livia Rodero	University of São Paulo
Jeidy Jimenez Ruiz	Federal University of Bahia
Dídac Gil Rams	Centre de Recerca Matemàtica
Oriol Llopis Almela	Centre de Recerca Matemàtica
Josep Sardanyés	Centre de Recerca Matemàtica

INVOICE/PAYMENT INFORMATION

IF YOUR INSTITUTION COVERS YOUR REGISTRATION FEE: Please note that, in case your institution is paying for the registration via bank transfer, you will have to indicate your institution details and choose “Transfer” as the payment method at the end of the process.

UPF | UB | UPC | UAB

*If the paying institution is the UPF / UB/ UPC / UAB, after registering, please send an email to comptabilitat@crm.cat with your name and the institution internal reference number that we will need to issue the electronic invoice. Please, send us the Project code covering the registration if needed.

Paying by credit card

IF YOU PAY VIA CREDIT CARD but you need to provide the invoice to your institution to be reimbursed, please note that we will also need you to send an email to comptabilitat@crm.cat providing the internal reference number given by your institution and the code of the Project covering the registration (if necessary).

LODGING INFORMATION

ON-CAMPUS AND BELLATERRA

BARCELONA AND OFF-CAMPUS

t-mobilitat

The sale of most tickets with a magnetic strip has now ended. The T-casual, T-usual, T-familiar and the T-grup are now only available with T-mobilitat and you can no longer buy the magnetic strip version. T-mobilitat is the new digital card system for public transportation in the province of Barcelona. It integrates the entire territory, all integrated transport tickets, and all operators.

T-MOBILITAT

sponsors