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Two-dimensional product-cubic systems.. Vol. I,. Constant and linear vector fields

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Two-dimensional product-cubic systems./ by Albert C. J. Luo.
remainder title:	Constant and linear vector fields
Author:	Luo, Albert C. J.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	x, 250 p. :ill. (chiefly color), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Nonlinear systems. -
Online resource:	https://doi.org/10.1007/978-3-031-57092-6
ISBN:	9783031570926

Two-dimensional product-cubic systems.. Vol. I,. Constant and linear vector fields
Luo, Albert C. J.

Two-dimensional product-cubic systems.Vol. I,Constant and linear vector fields[electronic resource] /Constant and linear vector fieldsby Albert C. J. Luo. - Cham :Springer Nature Switzerland :2024. - x, 250 p. :ill. (chiefly color), digital ;24 cm.

Constant and Product-Cubic Systems -- Self-linear and Product-cubic systems -- Crossing-linear and Product-cubic systems.

This book, the fifth of 15 related monographs, presents systematically a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields. The product-cubic vector field is a product of linear and quadratic different univariate functions. The hyperbolic and hyperbolic-secant flows with directrix flows in the cubic product system with a constant vector field are discussed first, and the cubic product systems with self-linear and crossing-linear vector fields are discussed. The inflection-source (sink) infinite equilibriums are presented for the switching bifurcations of a connected hyperbolic flow and saddle with hyperbolic-secant flow and source (sink) for the connected the separated hyperbolic and hyperbolic-secant flows. The inflection-sink and source infinite-equilibriums with parabola-saddles are presented for the switching bifurcations of a separated hyperbolic flow and saddle with a hyperbolic-secant flow and center. Readers learn new concepts, theory, phenomena, and analysis techniques, such as Constant and product-cubic systems, Linear-univariate and product-cubic systems, Hyperbolic and hyperbolic-secant flows, Connected hyperbolic and hyperbolic-secant flows, Separated hyperbolic and hyperbolic-secant flows, Inflection-source (sink) Infinite-equilibriums and Infinite-equilibrium switching bifurcations. Develops a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields; Presents inflection-source (sink) infinite-equilibriums for the switching of a connected hyperbolic flow; Presents inflection-sink (source) infinite-equilibriums for the switching of a paralleled hyperbolic flow.

ISBN: 9783031570926

Standard No.: 10.1007/978-3-031-57092-6doiSubjects--Topical Terms:

569004
Nonlinear systems.

LC Class. No.: QA402

Dewey Class. No.: 515.252

Two-dimensional product-cubic systems.. Vol. I,. Constant and linear vector fields
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