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Two-dimensional Self and Product Cubic Systems, Vol. I

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181.89 €

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Fachbuch

Buch. Hardcover

2024

viii, 240 S. 1 s/w-Abbildung, 69 Farbabbildungen, Bibliographien.

In englischer Sprache

Springer. ISBN 978-3-031-59581-3

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

Produktbeschreibung

This book, the twelfth of 15 related monographs on Cubic Systems, discusses self and product cubic systems with a self-linear and crossing-quadratic product vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed. The volume explains how the equilibrium series with connected hyperbolic and hyperbolic-secant flows exist in such cubic systems, and that the corresponding switching bifurcations are obtained through the inflection-source and sink infinite-equilibriums. Finally, the author illustrates how, in such cubic systems, the appearing bifurcations include saddle-source (sink) for equilibriums and inflection-source and sink flows for the connected hyperbolic flows, and the third-order saddle, sink and source are the appearing and switching bifurcations for saddle-source (sink) with saddles, source and sink, and also for saddle, sink and source. - Develops a theory of self and product cubic systems with a self-linear and crossing-quadratic product vector field; - Presents equilibrium series with flow singularity and connected hyperbolic and hyperbolic-secant flows; - Shows equilibrium series switching bifurcations through a range of sources and saddles on the infinite-equilibriums.

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