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Two-dimensional product-cubic systems.Vol. IV,Crossing-quadratic vector fields

Record Type:	Electronic resources : Monograph/item
Title/Author:	Two-dimensional product-cubic systems.by Albert C. J. Luo.
remainder title:	Crossing-quadratic vector fields
Author:	Luo, Albert C. J.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	x, 256 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Nonlinear systems.
Online resource:	https://doi.org/10.1007/978-3-031-57104-6
ISBN:	9783031571046$q(electronic bk.)

Two-dimensional product-cubic systems.Vol. IV,Crossing-quadratic vector fields
Luo, Albert C. J.

Two-dimensional product-cubic systems.Vol. IV,Crossing-quadratic vector fields[electronic resource] /Crossing-quadratic vector fieldsby Albert C. J. Luo. - Cham :Springer Nature Switzerland :2024. - x, 256 p. :ill. (chiefly color), digital ;24 cm.

Preface -- Crossing-quadratic and product-cubic systems -- Double-inflection-saddles and bifurcation dynamics -- Parabola-saddles and bifurcation.

This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink) The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include: Parabola-source (sink) infinite-equilibriums, Inflection-source (sink) infinite-equilibriums, Hyperbolic (circular) sink-to source infinite-equilibriums, Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums. Develops a theory of cubic dynamical systems having a product-cubic vector field and a crossing-quadratic vector field; Shows equilibriums and paralleled hyperbolic and hyperbolic-secant flows with switching though infinite-equilibriums; Presents CCW and CW centers separated by a paralleled hyperbolic flow and positive and negative saddles.

ISBN: 9783031571046$q(electronic bk.)

Standard No.: 10.1007/978-3-031-57104-6doiSubjects--Topical Terms:

182906
Nonlinear systems.

LC Class. No.: QA402

Dewey Class. No.: 515.252

Two-dimensional product-cubic systems.Vol. IV,Crossing-quadratic vector fields
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