vbid/9783031484872

Description

This book is the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the equilibrium and flow singularity and bifurcations for appearing and switching bifurcations. The appearing bifurcations herein are parabola-saddles, saddle-sources (sinks), hyperbolic-to-hyperbolic-secant flows, and inflection-source (sink) flows. The switching bifurcations for saddle-source (sink) with hyperbolic-to-hyperbolic-secant flows and parabola-saddles with inflection-source (sink) flows are based on the parabola-source (sink), parabola-saddles, inflection-saddles infinite-equilibriums. The switching bifurcations for the network of the simple equilibriums with hyperbolic flows are parabola-saddles and inflection-source (sink) on the inflection-source and sink infinite-equilibriums. Readers will learn new concepts, theory, phenomena, and analysis techniques. � Two-different product-cubic systems � Hybrid networks of higher-order equilibriums and flows � Hybrid series of simple equilibriums and hyperbolic flows � Higher-singular equilibrium appearing bifurcations � Higher-order singular flow appearing bifurcations � Parabola-source (sink) infinite-equilibriums � Parabola-saddle infinite-equilibriums � Inflection-saddle infinite-equilibriums � Inflection-source (sink) infinite-equilibriums � Infinite-equilibrium switching bifurcations. �Typham this is the title: Two-dimensional Two-product Cubic�Systems, Vol I Different Product Structure Vector�Fields