Two-dimensional Product Cubic Systems, Vol. VII : Self- Quadratic Vector Fields

This book is the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field.

The equilibrium singularity and bifurcation dynamics are discussed.

The saddle-source (sink) is the appearing bifurcations for saddle and source (sink).

The double-saddle equilibriums are the appearing bifurcations of the saddle-source and saddle-sink, and also the appearing bifurcations of the network of saddles, sink and source.

The infinite-equilibriums for the switching bifurcations include:• inflection-saddle infinite-equilibriums,• hyperbolic-source (sink) infinite-equilibriums,• up-down (down-up) saddle infinite-equilibriums,• inflection-source (sink) infinite-equilibriums.