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Two-dimensional constant and product polynomial systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Two-dimensional constant and product polynomial systemsby Albert C. J. Luo.
Author:	Luo, Albert C. J.
Published:	Singapore :Springer Nature Singapore :2025.
Description:	vii, 126 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Polynomials.
Online resource:	https://doi.org/10.1007/978-981-96-5515-1
ISBN:	9789819655151$q(electronic bk.)

Two-dimensional constant and product polynomial systems
Luo, Albert C. J.

Two-dimensional constant and product polynomial systems[electronic resource] /by Albert C. J. Luo. - Singapore :Springer Nature Singapore :2025. - vii, 126 p. :ill., digital ;24 cm.

Constant and Product Polynomial Systems -- Proof of Theorem 1.1 -- Singular flows bifurcaions and networks.

This book is a monograph about 1-dimensional flow arrays and bifurcations in constant and product polynomial systems. The 1-dimensional flows and the corresponding bifurcation dynamics are discussed. The singular hyperbolic and hyperbolic-secant flows are presented, and the singular hyperbolic-to-hyperbolic-secant flows are discussed. The singular inflection source, sink and upper, and lower-saddle flows are presented. The corresponding appearing and switching bifurcations are presented for the hyperbolic and hyperbolic-secant networks, and singular flows networks. The corresponding theorem is presented, and the proof of theorem is given. Based on the singular flows, the corresponding hyperbolic and hyperbolic-secant flows are illustrated for a better understanding of the dynamics of constant and product polynomial systems.

ISBN: 9789819655151$q(electronic bk.)

Standard No.: 10.1007/978-981-96-5515-1doiSubjects--Topical Terms:

184760
Polynomials.

LC Class. No.: Q161.P59

Dewey Class. No.: 512.9422

Two-dimensional constant and product polynomial systems
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100 1 $a Luo, Albert C. J. $3 514321
245 1 0 $a Two-dimensional constant and product polynomial systems $h [electronic resource] / $c by Albert C. J. Luo.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2025.
300 $a vii, 126 p. : $b ill., digital ; $c 24 cm.
505 0 $a Constant and Product Polynomial Systems -- Proof of Theorem 1.1 -- Singular flows bifurcaions and networks.
520 $a This book is a monograph about 1-dimensional flow arrays and bifurcations in constant and product polynomial systems. The 1-dimensional flows and the corresponding bifurcation dynamics are discussed. The singular hyperbolic and hyperbolic-secant flows are presented, and the singular hyperbolic-to-hyperbolic-secant flows are discussed. The singular inflection source, sink and upper, and lower-saddle flows are presented. The corresponding appearing and switching bifurcations are presented for the hyperbolic and hyperbolic-secant networks, and singular flows networks. The corresponding theorem is presented, and the proof of theorem is given. Based on the singular flows, the corresponding hyperbolic and hyperbolic-secant flows are illustrated for a better understanding of the dynamics of constant and product polynomial systems.
650 0 $a Polynomials. $3 184760
650 0 $a Bifurcation theory. $3 185804
650 1 4 $a Complex Systems. $3 558544
650 2 4 $a Field Theory and Polynomials. $3 274058
650 2 4 $a Dynamical Systems. $3 913342
650 2 4 $a Differential Equations. $3 285983
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-96-5515-1
950 $a Mathematics and Statistics (SpringerNature-11649)