Two-dimensional Self and Product Cubic Systems, Vol. I

Focusing on self and product cubic systems, this volume explores complex interactions within a self-linear and crossing-quadratic product vector field. It presents equilibrium series characterized by flow singularities and examines the resulting switching bifurcations. Key concepts include the existence of hyperbolic and hyperbolic-secant flows, as well as the role of inflection-source and sink infinite-equilibriums in these dynamics. The author details various bifurcations, including saddle-source and third-order transitions, emphasizing their significance in understanding cubic systems.