Two-Dimensional Product Cubic Systems, Vol. VII: Self- Quadratic Vector Fields (2024)

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.