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.File in questo prodotto:
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