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Two-dimensional Two-product Cubic Systems, Vol I

Different Product Structure Vector Fields

Albert C. J. Luo

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ca. 181,89
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Springer Nature Switzerland img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika

Beschreibung

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.

 

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Schlagwörter

Saddle-source (sink) bifurcations, Linear-univariate and product-cubic systems, Connected hyperbolic and hyperbolic-secant flows, Hyperbolic and hyperbolic-secant flows, Inflection-source (sink) Infinite-equilibriums I, Parabola-saddle bifurcations, Infinite-equilibrium switching bifurcations, Constant and product-cubic systems, Inflection-sinks and sources, Separated hyperbolic and hyperbolic-secant flows