In this chapter, simple equilibriums and hyperbolic flows forming a series in the crossing and product cubic systems are presented, and the corresponding switching dynamics are discussed through the inflection source and sink infinite equilibriums. The parabola-saddles on single- and double-inflection sources and sink infinite equilibriums are discussed. Parabola-saddles are the switching bifurcations of a saddle and a hyperbolic-secant flow with a center and hyperbolic flow.