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- Mario di Bernardo, Daniel J. Pagano, Enrique Ponce
- I. J. Bifurcation and Chaos
- 2008

Boundary equilibrium bifurcations in piecewise smooth discontinuous systems are characterized by the collision of an equilibrium point with the discontinuity surface. Generically, these bifurcations are of codimension one, but there are scenarios where the phenomenon can be of higher codimension. Here, the possible collision of a non-hyperbolic equilibrium… (More)

- Emilio Freire, Enrique Ponce, Francisco Torres
- SIAM J. Applied Dynamical Systems
- 2012

- Victoriano Carmona, Emilio Freire, Enrique Ponce, Francisco Torres
- I. J. Bifurcation and Chaos
- 2005

The direct current (dc) microgrids are an option to new demands for power quality and integration of renewable resources in developing regions, where the main network is unavailable. However, the dc architecture is based on multistage power converters where point-of-load converters can be seen by the feeder converter as constant power loads (CPLs). This… (More)

- Jaume Llibre, Enrique Ponce, Cláudia Valls
- J. Nonlinear Science
- 2015

- Douglas D. Novaes, Enrique Ponce
- I. J. Bifurcation and Chaos
- 2015

Recently Braga and Mello conjectured that for a given n ∈ N there is a piecewise linear system with two zones in the plane with exactly n limit cycles. In this paper we prove a result from which the conjecture is an immediate consequence. Several explicit examples are given where location and stability of limit cycles are provided.

- Javier Aracil, Francisco Gordillo, Enrique Ponce
- IEEE Trans. Automat. Contr.
- 2005

In this paper we study a planar piecewise linear differential system formed by two regions separated by a straight line so that one system has a real unstable focus and the other a virtual stable focus which coincides with the real one. This system was introduced in a very recent paper (On the number of limit cycles in general planar piecewise linear… (More)

- Jaume Llibre, Enrique Ponce
- I. J. Bifurcation and Chaos
- 2003

- Emilio Freire, Enrique Ponce, Francisco G. F. Rodrigo, Francisco Torres
- I. J. Bifurcation and Chaos
- 2002