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Tesis Doctoral
Artículo
Hopf-Like Bifurcations in Planar Piecewise Linear Systems
(Universitat Autònoma de Barcelona, Servei de Publicacions, 1997)
Continuous planar piecewise linear systems with two linear zones are considered. Due to their low differentiability specific techniques of analysis must be developed. Several bifurcations giving rise to limit cycles are ...
Artículo
Canonical Discontinuous Planar Piecewise Linear Systems
(Society of Industrial and Applied Mathematics, 2012)
The family of Filippov systems constituted by planar discontinuous piecewise linear systems with two half-plane linearity zones is considered. Under generic conditions that amount to the boundedness of the sliding set, ...
Artículo
Limit cycles from a monodromic infinity in planar piecewise linear systems
(Elsevier, 2021-04-15)
Planar piecewise linear systems with two linearity zones separated by a straight line and with a periodic orbit at infinity are considered. By using some changes of variables and parameters, a reduced canonical form with ...
Artículo
The discontinuous matching of two planar linear foci can have three nested crossing limit cycles
(Universitat Autònoma de Barcelona, Servei de Publicacions, 2014)
The existence and stability of limit cycles in discontinuous piecewise linear systems obtained by the aggregation of two linear systems of focus type and having only one equilibrium point is considered. By using an adequate ...
Tesis Doctoral