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math.DS2026
Zero-Hopf bifurcation, periodic orbits and non-integrability of the classical Rössler system
Jaume Llibre, Wojciech Szumiński
We investigate the zero-Hopf bifurcation and the local -non-integrability of the original Rössler system. First, we characterize the unique zero-Hopf equilibrium of the syst…
math.DS2024★ 3 cited
Limit cycles and chaos in planar hybrid systems
Jaume Llibre, Paulo Santana
In this paper we study the family of planar hybrid differential systems formed by two linear centers and a polynomial reset map of any degree. We study their limit cycles and also…
math.DS2012★ 7 cited
On three-parameter families of Filippov systems -- the fold-saddle singularity
Tiago de Carvalho, Claudio Aguinaldo Buzzi, Marco Antonio Teixeira
This paper presents results concerning bifurcations of 2D piecewise-smooth vector fields. In particular, the generic unfoldings of codimension three fold-addle singularities of Fil…