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Artículo
Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold
(Elsevier, 2023-01)
In this work we deal with the canard regime as a part of a canard explosion taking place in a PWL version of the van der Pol equation having a flat critical manifold. The proposed analysis involves the identification of ...
Artículo
Saddle-node of limit cycles in planar piecewise linear systems and applications
(American Institute of Mathematical Sciences (AIMS), 2019-05)
In this article, we prove the existence of a saddle-node bifurcation of limit cycles in continuous piecewise linear systems with three zones. The bifurcation arises from the perturbation of a non-generic situation, where ...
Artículo
Saddle-node canard cycles in slow-fast planar piecewise linear differential systems
(Elsevier, 2024-05)
By applying a singular perturbation approach, canard explosions exhibited by a general family of singularly perturbed planar Piecewise Linear (PWL) differential systems are analyzed. The performed study involves both ...