Parabola-Saddle and Saddle-Source (Sink) Singularity

In this section, parabola saddles, saddle sources (sinks) singularities with the hyperbolic-to-hyperbolic secant flows and inflection source (sink) singularities in the two different product cubic systems are presented, and the corresponding bifurcation dynamics are discussed. The switching bifurcations of the parabola saddle with hyperbolic-to-hyperbolic secant flows and saddle source (sink) with inflection source (sink) flows are presented, and the switching bifurcations of saddle source (sink) with hyperbolic-to-hyperbolic secant flow and the parabola saddle with inflection source (sink) flow.