Granada, 02 February 2026 - 06 February 2026

 

This is the XXII edition of Recent Trends in Nonlinear Science of the DANCE (Dinámica, Atractores y No-linealidad: Caos y Estabilidad) Spanish network.

This event is partially supported by Ministerio de Ciencia e Innovación with the grant  RED2024-153934-T.

Confirmed Lecturers

  • Vivina Barutello (Università di Torino, Torino (Italy))
  • Amadeu Delshams (Universitat Politècnica de Catalunya, Barcelona (Spain))
  • Josef Hofbauer (University of Vienna, Vienna (Austria))


SPONSORS

                                                         

           

COMMITTEES

COORDINATORS

Maria J. Álvarez (Universitat de les Illes Balears) 
Alex Haro (Universitat de Barcelona)

SCIENTIFIC COMMITTEE

Adriana Buica (Universitatea Babeş-Bolyai) 
Armengol Gasull (Universitat Autònoma de Barcelona) 
Tere M-Seara (Universitat Politècnica de Catalunya) 
Carlota R. Gonçalves (Universidade de Lisboa) 

ORGANIZING COMMITTEE

Rafael Ortega (Universidad de Granada)
Pedro J. Torres (Universidad de Granada)
Antonio J. Ureña (Universidad de Granada)

The RTNS2026 lectures will begin on Monday, Feb. 2th in the morning, and end on Friday, Feb 6th before lunch. 

 

 

 

MONDAY

TUESDAY

WEDNESDAY

THURSDAY

FRIDAY

08:30

Registration

 

 

 

 

09:00

V. Barutello

V. Barutello

V. Barutello

V. Barutello

 

09:30

 

10:00

V. Barutello

10:30

11:00

Coffee Break

Coffee Break

Coffee Break

Coffee Break

Coffee Break

11:30

A. Delshams

A. Delshams

A. Delshams

A. Delshams

A. Delshams

12:00

12:30

J. Hofbauer

13:00

13:30

Lunch

Lunch

Lunch

Lunch

Lunch

14:00

14:30

15:00

15:30

J. Hofbauer

J. Hofbauer

J. Hofbauer

J. Hofbauer

 

16:00

 

16:30

 

17:00

 

17:30

17:30-19:00

Poster session with coffee

 

 

 

 

18:00

 

 

 

 

18:30

18:30-21:00 Tourist tour in Albaicin

 

 

 

19:00

 

 

 

 

19:30

 

 

 

 

20:00

 

 

   
20:30      

 

21:00

 

 

 

21:00-23:00 Conference dinner

 

21:30

 

 

 

 

22:00

 

 

 

 

22:30

 

 

 

 

 

IMPORTANT NOTICE: Due to the weather forecast, the tourist visit to the Albaicín has been rescheduled from Wednesday evening to Tuesday evening. We apologize for the possible inconveniences.

The tourist visit will start at 18:30 at the fountain of Plaza Nueva. For those who wish to join, a group walk from the outer gate of the Institute of Mathematics is planned, departing at 18:10. 

 

 

 

 Symbolic Dynamics in some Models of Celestial Mechanics - Vivina Barutello (Università di Torino)

Abstract.

Symbolic Dynamics is a powerful tool to understand chaotic behaviour in Dynamical Systems; in some sense, symbolic dynamics codes chaos. In this series of lessons we initially analyse what it means that a dynamic model presents a symbolic dynamic, proposing some basic examples. Then we will consider one, or possibly more, models arising from celestial mechanics for which the presence of a symbolic dynamics has been proved (anisotropic Kepler problem, N-center problem, Keplerian billiards).
 
 Geometric Tools for Global Instability of Hamiltonian Systems - Amadeu Delshams (Universitat Politècnica de Catalunya)

Abstract.

In this course we will review several geometric tools (among them symplectic geometry, normally hyperbolic invariant manifolds, scattering map, separatrix map) that are often used to prove global instability of Hamiltonian systems, with a special emphasis on systems from Celestial Mechanics.

 Lotka-Volterra systems and related topics - Josef Hofbauer (University of Vienna)

Abstract.

I will discuss classical models from population dynamics, namely ODE systems on the nonnegative orthant in R^n, in particular Lotka-Volterra systems, the replicator dynamics from evolutionary game theory, and maybe some examples from chemical reaction kinetics. 

DEADLINES

  • Registration Period: until December 21st, 2025.
  • Application for financial support: until November 14th, 2025.
  • Communication, by e-mail, of the grants awarded: November 21th, 2025.
  • Payment of Registration Fee: until January 16th, 2026 

 

     Reduced fee: 400 euros. Standard fee: 500 euros.

 

 

 Luis Álamo Rodríguez, Universitat Politècnica de Catalunya (Spain)
 Paula  Álvarez , Universidad de Oviedo (España)
 Miquel Barcelona Poza, Universitat Autonoma de Barcelona (Spain)
 Vivina Barutello,  Università di Torino
 Emma Beligni, Università Milano-Bicocca (Italia)
 Luis Ángel Calderón Pérez, Universidad de Castilla la Mancha
 Rosa Maria Delicado Moll, Universitat de les Illes Balears (Spain)
 Amadeu Delshams, Universitat Politècnica de Catalunya
 Leonor Cui Domingo Centeno, Universitat de Barcelona (España)
 Gladston Duarte, Universitat de València (Spain)
 Isaac García, Universitat de Lleida (Spain)
 Alex Haro, Universitat de Barcelona and CRM (Spain)
 Josef Hofbauer, Universität Wien
 Alexandra Lillo Escuder, Universitat Politècnica de Catalunya (Spain)
 Ignacio  Martínez Caballero , University of Alicante  (Spain)
 Paula Martínez Morais, Universidad de Valladolid (Spain)
 Rafael Martinez Vergara, Universitat de Barcelona (Spain)
 Teodoro Mayayo, Universitat Autònoma de Barcelona (ES)
 Susanna Maza, Universitat de Lleida (spain)
 Ainoa Murillo López, Universitat de Barcelona (Spain)
 Diego Noriega Rodríguez, Universidad de Oviedo (Spain)
 Rafael Ortega, Universidad de Granada
 Víctor Ortega, Universidad de Castilla-La Mancha
 Matteo Pandolfi, Universitat Politècnica de Catalunya
 Pedro José Parra Rivas, Universidad de Almería (España)
 Philip Pita Forrier, Universitat de Barcelona (Spain)
 ENRIQUE PONCE NUÑEZ, Universidad de Sevilla (ES)
 Jorge Rodríguez, Universidad de Valladolid (Spain)
 Javier Ros, Universidad de Sevilla (Spain)
 Francisco Javier Ros Padilla, Universidad de Sevilla (España)
 Fernando Sanz Sanchez, Universidad de Valladolid (España)
 Joan Carles Tatjer, Universitat de Barcelona (Spain)
 Joan Torregrosa, Universittat Autònoma de Barcelona (Spain)
 Pedro  Torres, Universidad de Granada
 Roberto Trinidad Forte, Universitat de les Illes Balears (España)
 Antonio J. Urena, Universidad de Granada (España)
 Arturo Vieiro, Universitat de Barcelona
 LU  XU , Jilin University (China)
 Davide Zaccaria, University of Toronto (Canada)
 Tingyu Zhong, Shanghai Jiao Tong University (China)
 Gean Franco  Acuña De La Cruz, La Universidad Estatal Paulista Júlio de Mesquita Filho (UNESP)  (Brasil)
 Maria Jesus Alvarez Torres, Universitat de les Illes Balears (España)
 Aarón  Cerdán Martínez , UPV (Spain)
 Andrey Chernyshev, Mr (United Kingdom)
 Murilo  de Souza Penteado, UNESP - IBILCE
 Jordi-Lluís  Figueras Romero, Uppsala University (Sweden)
 Mariona Montserrat Fucho Rius, Universitat Politècnica de Catalunya (Spain)
 Sara Guaitoli, Universitat Politècnica de Catalunya (Spain)
 Paula  Martínez Morais, Universidad de Valladolid (Spain)
 Rishikesh Yadav, Umeå University, Sweden (Sweden)

CONFERENCE VENUE

The conference venue will be SALA DE CONFERENCIAS DEL IMAG (Instituto de Matemáticas de Granada) The entrance to IMAG (shared with Centro de Documentación Científica) is located at Lopez-Argüeta street, not far from the the city center. See also the maps at the webpage of the IMAG https://wpd.ugr.es/~imag/addresses-and-access/  Important notice: follow the red path. The entrance at Ventanilla street is closed.

 

For those who wish to join, a group walk from the Hotel Turia Granada to the Institute of Mathematics is planned on Monday, Feb. 2th, departing at 8:15 a.m.

 

HOW TO ARRIVE IN GRANADA: 

  • From Granada airport. The airport is 17 km from downtown. Correspondences between Granada and its airport can be done by taxi or bus. The cab fare is about 30-35€. There is a 3.50€ bus airport-downtown (bus company ALSA), with different stops. The nearest one to IMAG is the stop "Av Constitución.Habba”, from where IMAG is just at about 10 min of walking distance. For more information, please visit the Alsa website. 
  • From Malaga airport. The bus company Alsa has a service connecting directly the airport of Málaga with the city of Granada. From this airport, there are frequent connections (approx. one per hour). For more information, please visit the Alsa website. Another available connection is through the bus station in Málaga, from where one can find buses leaving to Granada each hour. These buses arrive at the bus station in Granada, from where one can take a taxi to downtown (about 10€) or a city bus (lines SN2 or SN5) in order to arrive to the institute (see here for a map of the city buses in Granada).
  • By high speed train. There are daily connections to and from Granada, with Madrid and Barcelona. The train station in Granada is downtown, at 10 minutes of walking distance from IMAG.

 

 

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