Abstract

In this work, the evolution of a family of open-to-closed curves of saddle-node bifurcations of periodic orbits is numerically studied in Chua's equation. This family is organized by open and closed curves of Shil'nikov homoclinic connections in the presence of a nontransversal T-point. We remark the important role of cusp catastrophes of periodic orbits in the complete mechanism of creation/destruction of such closed curves of saddle-node bifurcations.

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