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Two-dimensional Two Product Cubic Systems, Vol. III

Self-linear and Crossing Quadratic Product Vector Fields

Albert C. J. Luo

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Springer Nature Switzerland img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika

Beschreibung

This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing bifurcations of saddle and center. The inflection-source and sink flows are the appearing bifurcations for connected hyperbolic and hyperbolic-secant flows. Networks of higher-order equilibriums and flows are presented. For the network switching, the inflection-sink and source infinite-equilibriums exist, and parabola-source and sink infinite-equilibriums are obtained. The equilibrium networks with connected hyperbolic and hyperbolic-secant flows are discussed. The inflection-source and sink infinite-equilibriums are for the switching bifurcation of two equilibrium networks. 

 

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Schlagwörter

Inflection-source (sink) Infinite-equilibriums I, Connected hyperbolic and hyperbolic-secant flows, Constant and product-cubic systems, Inflection-sinks and sources, Hyperbolic and hyperbolic-secant flows, Saddle-source (sink) bifurcations, Self-linear and crossing-quadratic product vector fields, Linear-univariate and product-cubic systems, Separated hyperbolic and hyperbolic-secant flows, Parabola-saddle bifurcations, Infinite-equilibrium switching bifurcations, Self-linear and Crossing-quadratic Product Systems