The field of nonsmooth dynamics is growing fast, both in the kinds of applications being studied (such as earthquakes, power grids, ocean currents, predator-prey and trade systems, etc.) and particularly in the geometrical theory of “maps with gaps” and discontinuous vector fields. When switches, impacts, or decision making occur in a system, they can lead to singularities and bifurcations that do not appear in smooth dynamics. They cause phenomena such as a curse of dimensionality, period adding, and determinacy breaking. Because these do not happen in smooth systems, one of the most interesting current challenges is to understand the relationship between smooth and nonsmooth systems using methods of singular perturbations.




Friday 16:30 – 17:30, Sala Prat de la Riba

Martin Homer (University of Bristol)
    Filippov unplugged   ►  ABSTRACT

Friday 17:30 – 18:00, Sala Prat de la Riba

Ernst Hairer (Université de Genève)
    Stabilization of the hidden dynamics in discontinuous differential

Friday 18:00 – 18:30, Sala Prat de la Riba

Tere M. Seara (Universitat Politècnica de Catalunya, Barcelona)
    Sliding bifurcations after Sotomayor–Teixeira regularization: an application of singular
    perturbation theory to Filippov systems.

Friday 18:30 – 19:00, Sala Prat de la Riba

Enric Fossas (Universitat Politècnica de Catalunya, Barcelona)
    A coupled inductor boost converter as a piecewise linear complementarity system:
    model and feedback control


Saturday 11:00 – 11:30, Sala Prat de la Riba

Paul Glendinning (University of Manchester)
    From low to high dimensional piecewise smooth systems   ►  ABSTRACT

Saturday 11:30 – 12:00, Sala Prat de la Riba

Piotr Kowalczyk (Manchester Metropolitan University)
    Complexity and dynamics of switched human balance control systems
    with noise

Saturday 12:00 – 12:30, Sala Prat de la Riba

Enrique Ponce (Universidad de Sevilla)
    Exploiting the features of a linear boundary focus in getting limit cycles   ►  ABSTRACT

Saturday 12:30 – 13:00, Sala Prat de la Riba

Josep M. Olm (Universitat Politècnica de Catalunya, Barcelona)
    On Abel differential equations of the 2nd kind and exact inversion with boost
    DC-AC converters



Amadeu Delshams (Universitat Politècnica de Catalunya, Barcelona)

Mike R. Jeffrey (University of Bristol)


The Catalan Mathematical Society (SCM) invites participants to the second edition of the Barcelona Mathematical Days. This triennial Conference focusses on current research topics across several areas of Mathematics.

Plenary talks and thematic sessions have been selected by the Scientific Committee of the SCM. Special thanks are due to the organisers of the thematic sessions and to the local mathematical community for their support to this Conference.


Societat Catalana de Matemàtiques
Institut d'Estudis Catalans
Carrer del Carme, 47
08001 Barcelona

Phone: +34 933 248 583