Hopf-like bifurcations and asymptotic stability in a class of 3D piecewise linear systems with applications
This paper analyzes a Hopf-like bifurcations in 3D piecewise linear systems, which are characterized by the birth of a piecewise smooth limit cycle that bifurcates from a singular point located at the discontinuity manifold. For a particular class of systems, it is provided the occurrence of two distinct types of Hopf-like bifurcations, each one giving rise to a crossing limit cycle. Conditions are stablished for the existence of a saddle-node bifurcation of crossing limit cycles, implying the coexistence of two crossing limit cycles. The stability property of the pseudo-equilibrium is analyzed and applications in discontinuous control systems are performed.
scientific article; zbMATH DE number 7376466
scientific article