RTNS

Cullera, 24 January 2022 - 28 January 2022

PRESENTATION

NASA APOD: Omega Sunrise in Cullera (2020 Sep 21)

Image Credit & Copyright: Juan Antonio Sendra

This is the 18th RTNS (Recent Trends in Nonlinear Science) winter school in Dynamical Systems of the DANCE (Dinámica, Atractores y Nolinealidad: Caos y Estabilidad) Spanish network.

The RTNS2022 will take place at the hotel Cullera Holiday, in the mediterranean city of Cullera (València).

SPONSORS

COMMITTEES

COORDINATORS

Joan Torregrosa (Universitat Autònoma de Barcelona)
Patricia Yanguas (Universidad Pública de Navarra)

SCIENTIFIC COMMITTEE

Peter De Maeeschalck (Hasselt University)
Alfred Peris (Universitat Politècnica de València)
Francisco R. Ruiz del Portal (Universidad Complutense de Madrid)
Yingfei Yi (University of Alberta)

ORGANIZING COMMITTEE

Universitat Politècnica de València:

Salud Bartoll
Antoni López
Félix Martínez
Marina Murillo
Alfred Peris
Francisco Rodenas

Download

Periodic solutions of perturbed Kepler problems - Rafael Ortega (Universidad de Granada)

CONTENT

Abstract: Click here

Link to the notes: Click here

Tracing, mixing and entropy - Piotr Oprocha (AGH University of Science and Technology)

CONTENT

Abstract: Tracing of trajectories (widely understood) is a tool that allows deep insight into dynamics. It helps in locating invariant measures, estimating the value of entropy and understanding the structure of minimal sets. In this short course we will discuss various approaches to tracing and their consequences for dynamics, mainly in the topological approach. Some existing links to other useful tools, such as ergodic theory or symbolic dynamics will be also highlighted.

Notes:

MATERIALS

Tracing, mixing and entropy I - Piotr Oprocha (AGH University of Science and Technology)

Download Files

PO_Cullera_I.pdf

Tracing, mixing and entropy II - Piotr Oprocha (AGH University of Science and Technology)

Download Files

PO_Cullera_II.pdf

Tracing, mixing and entropy III - Piotr Oprocha (AGH University of Science and Technology)

Download Files

PO_Cullera_III.pdf

Tracing, mixing and entropy IV - Piotr Oprocha (AGH University of Science and Technology)

Download Files

PO_Cullera_IV.pdf

Tracing, mixing and entropy V - Piotr Oprocha (AGH University of Science and Technology)

Download Files

PO_Cullera_V.pdf

Dynamics of area preserving surface diffeomorphisms - Patrice Le Calvez (Institut de Mathématiques de Jussieu)

CONTENT

Abstract: In the course we will give an overview of the results obtained these last years about the dynamics of conservative surface homeomorphisms of a closed surface, in particular diffeomorphisms preserving an area form. We will introduce a certain number of mathematical objects explaining their role in the proofs of some of these results.

Notes: Course

Sejal Babel, Jagiellonian university (Poland)

Ekaterina Bagaeva, Jacobs University Bremen (Germany)

Miquel Barcelona Poza, Universitat Autònoma de Barcelona (Spain)

Salud Bartoll Arnau, Universitat Politècnica de València (Spain)

Salvador Borrós Cullell, Universitat Autònoma de Barcelona (Spain)

Christian Cobollo Gómez, Universitat Politècnica de València (Spain)

J. Alberto Conejero, Universitat Politècnica de València (Spain)

Clara Cufí-Cabré, Universitat Autònoma de Barcelona (Spain)

Jesús Dueñas Pamplona, Universidad de Valladolid (Spain)

Álvaro Fernández Mora, Universitat de Barcelona (Spain)

Miguel Garrido, Universitat Autònoma de Barcelona (Spain)

Dídac Gil Rams, Universitat Politècnica de Catalunya (Spain)

Mar Giralt Miron, Universitat Politècnica de Catalunya (Spain)

Lucas Goiriz Beltrán, Universitat Politècnica de València (Spain)

José Lamas Rodríguez, Universitat Politècnica de Catalunya (Spain)

Antoni López-Martínez, Universitat Politècnica de València (Spain)

María Martín Vega, Universidad de Valladolid (Spain)

Félix Martínez Giménez, Universitat Politècnica de València (Spain)

Román Moreno González, Universitat Politècnica de Catalunya (Spain)

Ainoa Murillo López, Universitat de Barcelona (Spain)

Marina Murillo-Arcila, Universitat Politècnica de València (Spain)

David Jesús Nieves Rivera, Universidad Complutense de Madrid (Spain)

Diego Noriega Rodríguez, Universidad de Oviedo (Spain)

Jesús Francisco Palacián Subiela, Universidad Pública de Navarra (Spain)

Jaime Paradela, Universitat Politecnica de Catalunya (Spain)

Juan Pello, Universitat de Barcelona (Spain)

Jordi Penalva Vadell, Universitat de les Illes Balears (Spain)

Alfred Peris, Universitat Politècnica de València (Spain)

Enrique Ponce Nuñez, Universidad de Sevilla (Spain)

Pedro Porras Flores, Universitat de Barcelona (Spain)

Francisco Rodenas, Universitat Politècnica de València (Spain)

Francisco Romero Ruiz del Portal, Universidad Complutense de Madrid (Spain)

Jaime Jorge Sánchez Gabites, Universidad Complutense de Madrid (Spain)

Fernando Sanz Sánchez, Universidad de Valladolid (Spain)

Airi Takeuchi, Karlsruhe Institute of Technology (Germany)

Antonio E Teruel, Universitat de les Illes Balears (Spain)

Alexandre Trilles, Jagiellonian University (Poland)

José Manuel Uzal, Universidade de Santiago de Compostela (Spain)

Patricia Yanguas Sayas, Universidad Pública de Navarra (Spain)

Naeem Alkoumi, Hebron University (Palestine)

Yuliya Bakhanova, National Research University Higher School of Economics (Russia)

Gladston Duarte, AGH University of Science and Technology (Poland)

Isaac A. García, Universitat de Lleida (Spain)

Manuel Garzón, Universidad de Granada (Spain)

Anna Jové Campabadal, Universitat de Barcelona (Spain)

Susanna Maza, Universitat de Lleida (Spain)

Javier Montes Maldonado, Universidad Autónoma de Madrid (Spain)

Víctor Ortega Blázquez, Universidad de Almería (Spain)

Ashraf Owis, Politecnico di Milano (Italy)

Javier Ros Padilla, Universidad de Sevilla (Spain)

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