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Two-dimensional two product cubic systems.Vol. III,Self-linear and crossing quadratic product vector fields

Record Type:	Electronic resources : Monograph/item
Title/Author:	Two-dimensional two product cubic systems.by Albert C. J. Luo.
remainder title:	Self-linear and crossing quadratic product vector fields
Author:	Luo, Albert C. J.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	x, 284 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Nonlinear systems.
Online resource:	https://doi.org/10.1007/978-3-031-59559-2
ISBN:	9783031595592$q(electronic bk.)

Two-dimensional two product cubic systems.Vol. III,Self-linear and crossing quadratic product vector fields
Luo, Albert C. J.

Two-dimensional two product cubic systems.Vol. III,Self-linear and crossing quadratic product vector fields[electronic resource] /Self-linear and crossing quadratic product vector fieldsby Albert C. J. Luo. - Cham :Springer Nature Switzerland :2024. - x, 284 p. :ill. (some col.), digital ;24 cm.

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. Develops a theory of nonlinear dynamics and singularity of crossing-linear and self-quadratic product systems; Presents networks of singular, simple center and saddle with hyperbolic flows in same structure product-cubic systems; Reveals s network switching bifurcations through hyperbolic, parabola, circle sink and other parabola-saddles.

ISBN: 9783031595592$q(electronic bk.)

Standard No.: 10.1007/978-3-031-59559-2doiSubjects--Topical Terms:

182906
Nonlinear systems.

LC Class. No.: QA402

Dewey Class. No.: 515.252

Two-dimensional two product cubic systems.Vol. III,Self-linear and crossing quadratic product vector fields
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