Two-dimensional Two-Product Polynomial Systems

This book is a six-volume handbook about two-product polynomial systems.The corresponding hybrid networks of singular and non-singular, 1-dimensional flows and equilibriums are presented.The higher-order singular 1-dimensional flows and singular equilibriums are for the appearing bifurcations of lower-order singular and non-singular 1-dimensional flows and equilibriums.The infinite-equilibriums are the switching bifurcations for two associated networks of singular and non-singular, 1-dimensional flows and equilibriums. Volume I of this book presents a theorem for the bifurcation dynamics of two-product polynomial systems through a theorem.The nonlinear dynamics of ingular flows and equilibriums with the corresponding infinite-equilibriums in two-product polynomial systems in theorem. Volume II of this book presents the methodology to achieve the mathematical conditions for singular equilibriums, singular 1-dimensional flows, two network switching in the theorem through local analysis a