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CRM > English > Activities > Workshop on Slow-Fast Dynamics: Theory, Numerics, Application to Life and Earth Sciences
Workshop on Slow-Fast Dynamics: Theory, Numerics, Application to Life and Earth Sciences
Dates: June 3 to 7, 2013

Booklet new
List of participants last updated May 27th

Final information last updated May 31st

PROGRAM last updated June 3rd


Theoretical research in singular perturbation theory advances rapidly and in many directions. Planar slow-fast systems, although quite well-understood, still encompass a number of open questions such as the location and distribution of isolated periodic orbits. In higher dimensional systems, slow-fast vector fields give rise to even richer dynamics, in particular, complex oscillations such as Mixed-Mode Oscillations (MMOs) and bursting oscillations. Important theoretical challenges are concerned with the questions of more than two time scales, complex patterns of oscillations with more than four variables, the effect of time scales on stochastic systems, spatially extended systems, large-scale systems, etc.. The question of various model reductions is central to these challenges. 

Application areas where multiple time scales play an important role are numerous, especially in the life sciences. Observing and modelling real-world processes as diverse as the electrical activity of neuron cells, chemical reactions, turbulent flows or (some aspects of) the climate, often involves multi-scale data and the development of mathematical models that incorporate these different time and space scales, which may or may not be explicit. From the experimental data to the mathematical model, identifying the time scales is a fundamental challenge, and according to the process under study, the knowledge of these time scales is very variable and system-dependent. Developing mathematical techniques that do not depend on an explicit timescale separation is also an important challenge to bridge the gap between theory and applications. 

In this workshop, a panorama of current research in slow-fast dynamics will be presented, both at theoretical and computational level and also with a clear view towards applications, in particular in neuroscience and climate modelling (in link with the worldwide initiative mpe2013). World leading experts will give keynote lectures on the aforementioned topics; remaining talks will be shorter and will focus on current research questions in this field. We hope to bring together different communities (theoretical, computational, experimental), all interested in multiple time scale dynamics, hence fostering discussion, interaction and promoting new collaborations. Also, we wish to discuss during the workshop the possibility of creating an international network for research in slow-fast dynamics; in particular, such a network will allow this type of meeting to be recurrent.
List of keynote speakers

Freddy Dumortier, Hasselt University, Belgium
Jean-Pierre Françoise, Pierre & Marie Curie University
Olivier Faugeras, INRIA Sophia Antipolis
G. Bard Ermentrout, University of Pittsburgh
Antoni Guillamon, UPC
John Guckenheimer, Cornell University
Tasso J. Kaper, Boston University
Yannis Kevrekidis, Princeton University
Martin Wechselberger, University of Sydney
Antonios Zagaris, University of Twente, The Netherlands​

Scientifc Committee
Eric Benoît, University of La Rochelle
Freddy Dumortier, University of Hasselt
Jean-Pierre Françoise, University Pierre & Marie Curie- Paris 6
Boris Gutkin, École Normale Supérieure de Paris
Jean-Christophe Poggiale, Université de Marseille
Robert Roussarie, Université de Dijon


Peter De Maesschalck, University of Hasselt
Mathieu Desroches, INRIA
Mark Kramer, Boston University
Martin Krupa, INRIA
Serafim Rodrigues, University of Plymouth
Alexandre Vidal, University of Evry
Haiping Zhu, University of York

Registration includes: attendance to the lectures, documentation package, copy of the course notes, social dinner, cultural activity, and coffee breaks.
Registration fee: 150 €
Local registration fee: 60€

Regular registration includes: attendance to the lectures, documentation package, social dinner, cultural activity, and coffee breaks.​
Local registration fee covers: attendance to the lectures, documentation package, and coffee breaks.

Deadline for registration and payment: May 19th, 2013

IMPORTANT: To register click on one of the baskets at the beginning or at the end of the page. ​ ​

 Contributed Talks
If you wish to submit a talk you will need to send the following information to Ms Núria Hernandez ( before April 30th: 
-A title and abstract of your presentation 
-Your last 5 most relevant publications (in case you do not have publications we will need you to send us the name of your Ph.D. Director).
We will send you an e-mail informing you whether your talk has been accepted as soon as a decision has been made by the Scientific Committee.

Deadline to submit an abstract has been extended: April 30th, 2013

Participants are encouraged to book their lodging as soon as possible. In case you want to make a reservation at Vila please send a message to Ms. Marta Roig ( Please be sure to mention the reference "CRM Activity" when making your reservation.

Vila Universitària 2

In case you want to make a reservation at Vila please send a message to Ms. Marta Roig ( Please be sure to mention the reference "CRM Activity" when making your reservation.

The following services are included:

Weekly Cleaning service.

  • Water and electricity expenses included in the price.
  • Wire internet connection.
  • Bed and towels equipment.
  • Adapted television to the TDT.
  • Free entrance to SAF (sport facilities)

You can visit the Vila web page at the address: www.vilauniversitaria.comThe address is Vila Universitària, Campus Universitat Autònoma de Barcelona. 08193 Bellaterra. You can check how to get there using the local map of the CRMwebpage: Vila Universitària 2 is right on the campus and the closest train station is Bellaterra train station at the FCG train line.

Hotel Campus

In case you want to make a reservation at Hotel Campus please send a message to Please be sure to mention the reference "CRM Activity" when making your reservation.​

Campus Hotel ( 

If you have any questions please contact:

Ms. Núria Hernandez
Activities Coordinator​ ​

This Workshop is in the framework of the Mathematics of Planet Earth 2013 (MPE2013)​ programme​​. ​