Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI

Focusing on the intricate dynamics of singularity and equilibrium networks, this monograph delves into 1-dimensional flows within quadratic and cubic systems. It categorizes equilibriums into sources, sinks, and saddles, detailing their behaviors with counter-clockwise and clockwise centers. The author explores various types of flows, including hyperbolic and parabola flows, and discusses bifurcations related to singular equilibriums. Additionally, it introduces new concepts and analytical techniques, making it a valuable resource for understanding complex mathematical phenomena.