Two-dimensional Two-product Cubic��Systems Vol I

<p>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.</p><p>�� Two-different product-cubic systems</p><p>�� Hybrid networks of higher-order equilibriums and flows</p><p>�� Hybrid series of simple equilibriums and hyperbolic flows</p><p>�� Higher-singular equilibrium appearing bifurcations</p><p>�� Higher-order singular flow appearing bifurcations</p><p>�� Parabola-source (sink) infinite-equilibriums</p><p>�� Parabola-saddle infinite-equilibriums</p><p>�� Inflection-saddle infinite-equilibriums</p><p>�� Inflection-source (sink) infinite-equilibriums</p><p>�� Infinite-equilibrium switching bifurcations.</p><p> </p>