Isochronous Attainable Manifolds for Piecewise Smooth Dynamical Systems

• Difonzo, Fabio V. ^[1]
  1. [1] University of Bari Aldo Moro

     University of Bari Aldo Moro

     Bari, Italia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 1, 2022
• Idioma: inglés
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• Resumen

  • Considering the concept of attainable sets for differential inclusions, we introduce the isochronous manifolds relative to a piecewise smooth dynamical systems in R2 and R3, and study how analytical and topological properties of such manifolds are related to sliding motion and to partially nodal attractivity conditions on the discontinuity manifolds. We also investigate what happens to isochronous manifolds at tangential exit points, where attractivity conditions cease to hold. In particular, we find that isochronous curves in R2, which are closed simple curves under attractivity regime, become open curves at such points.