In such cubic systems, the appearing bifurcations are:- double-inflection saddles, - inflection-source (sink) flows,- parabola-saddles (saddle-center),- third-order parabola-saddles, - third-order saddles and centers.

Self and product cubic systems.- Second and third order equibriliums.- Equilibrium series and switching dynamics.-  Saddle nodes and hyperbolic flow series.- Simple equilibrium series and switching dynamics.

This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are: -        double-inflection saddles,  -        inflection-source (sink) flows, -        parabola-saddles (saddle-center), -        third-order parabola-saddles,  -        third-order saddles and centers.   ·        Develops a theory of crossing and product cubic systems with a self-linear and crossing-quadratic product vector field; ·        Presents singular equilibrium series with inflection-source (sink) flows and networks of simple equilibriums; ·        Shows equilibrium appearing bifurcations of (2,2)-double-inflection saddles and inflection-source (sink) flows.

Develops a theory of self and product cubic systems with a self-linear and crossing-quadratic product vector field Presents equilibrium series with flow singularity and connected hyperbolic and hyperbolic-secant flows Shows equilibrium series switching bifurcations through a range of sources and saddles on the infinite-equilibriums

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