most citedProperties of Poincaré half-maps for planar linear systems and some direct applications to periodic orbits of piecewise systems

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math.DS2021★ 2 cited

Properties of Poincaré half-maps for planar linear systems and some direct applications to periodic orbits of piecewise systems

Victoriano Carmona, Fernando Fernández-Sánchez, Elisabeth García-Medina +1

This paper deals with fundamental properties of Poincaré half-maps defined on a straight line for planar linear systems. Concretely, we focus on the analyticity of the Poincaré hal…