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Two-dimensional self and product cubic systems.crossing-linear and self-quadratic product vector field /Vol. II

Record Type:	Electronic resources : Monograph/item
Title/Author:	Two-dimensional self and product cubic systems.by Albert C. J. Luo.
Reminder of title:	crossing-linear and self-quadratic product vector field /
Author:	Luo, Albert C. J.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	x, 238 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Nonlinear systems.
Online resource:	https://doi.org/10.1007/978-3-031-59574-5
ISBN:	9783031595745$q(electronic bk.)

Two-dimensional self and product cubic systems.crossing-linear and self-quadratic product vector field /Vol. II
Luo, Albert C. J.

Two-dimensional self and product cubic systems.crossing-linear and self-quadratic product vector field /Vol. II[electronic resource] :by Albert C. J. Luo. - Cham :Springer Nature Switzerland :2024. - x, 238 p. :ill. (some col.), digital ;24 cm.

Self and Product Cubic Systems -- Double-saddles, Third-order Saddle nodes -- Vertical Saddle-node Series and Switching Dynamics -- Saddle-nodes and third-order Saddles Source and Sink -- Simple equilibrium networks and switching dynamics.

This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink) Develops a theory of self and product cubic systems with a crossing-linear and self-quadratic products vector field; Presents equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows with switching by up-down saddles; Shows equilibrium appearing bifurcations of various saddles, sinks, and flows.

ISBN: 9783031595745$q(electronic bk.)

Standard No.: 10.1007/978-3-031-59574-5doiSubjects--Topical Terms:

182906
Nonlinear systems.

LC Class. No.: QA402 / .L86 2024

Dewey Class. No.: 515.252

Two-dimensional self and product cubic systems.crossing-linear and self-quadratic product vector field /Vol. II
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