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Two-dimensional Two-product Cubic Systems, Vol I

Different Product Structure Vector Fields

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181,89 €

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Fachbuch

Buch. Hardcover

2024

x, 336 S. 1 s/w-Abbildung, 54 Farbabbildungen, Bibliographien.

In englischer Sprache

Springer. ISBN 978-3-031-48486-5

Format (B x L): 15,5 x 23,5 cm

Produktbeschreibung

This book, 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. - Develops a theory of nonlinear dynamics and singularity of two-different product-cubic dynamical systems; - Presents networks of singular and simple equilibriums and hyperbolic flows in such different structure product-cubic systems; - Reveals network switching bifurcations through infinite-equilibriums of parabola-source (sink) and parabola-saddles.

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