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.
Schedule
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
equations ► ABSTRACT
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. ► ABSTRACT
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 ► ABSTRACT
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 ► ABSTRACT
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 ► ABSTRACT
Organisers
Amadeu Delshams (Universitat Politècnica de Catalunya, Barcelona)
Mike R. Jeffrey (University of Bristol)
