We consider an n dimensional dynamical system with discontinuous right-hand side (DRHS), whereby the vector field changes discontinuously across a co-dimension 1 hyperplane S. We assume that this DRHS system has an asymptotically stable periodic orbit , not fully lying in S. In this paper, we prove that also a regularization of the given system has a unique, asymptotically stable, periodic orbit, converging to as the regularization parameter goes to 0.

Limit cycles for regularized discontinuous dynamical systems with a hyperplane of discontinuity

Elia, Cinzia;
2017-01-01

Abstract

We consider an n dimensional dynamical system with discontinuous right-hand side (DRHS), whereby the vector field changes discontinuously across a co-dimension 1 hyperplane S. We assume that this DRHS system has an asymptotically stable periodic orbit , not fully lying in S. In this paper, we prove that also a regularization of the given system has a unique, asymptotically stable, periodic orbit, converging to as the regularization parameter goes to 0.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/204064
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