Cubic Dynamical Systems, Vol. V

Focusing on the theoretical framework of product-cubic nonlinear systems, this monograph delves into the dynamics of systems characterized by constant and single-variable linear vector fields. It explores hyperbolic flows and their interactions with cubic product systems, detailing bifurcations and equilibrium points. The text examines both connected and separated hyperbolic flows, highlighting the behavior of inflection-source and sink equilibria in relation to switching bifurcations, providing a comprehensive analysis of complex flow dynamics in these mathematical systems.