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1-dimensional flow arrays and bifurcations in planar polynomial systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	1-dimensional flow arrays and bifurcations in planar polynomial systems/ by Albert C. J. Luo.
Author:	Luo, Albert C. J.
Published:	Singapore :Springer Nature Singapore : : 2024.,
Description:	vii, 377 p. :ill., digital ;24 cm.
[NT 15003449]:	Constant and Self variable Polynomial Systems -- Constant and Crossing variable Polynomial Systems -- Single univariate Polynomial Systems -- Higher order Infinite equilibrium Bifurcations.
Contained By:	Springer Nature eBook
Subject:	Polynomials. -
Online resource:	https://doi.org/10.1007/978-981-97-2204-4
ISBN:	9789819722044

1-dimensional flow arrays and bifurcations in planar polynomial systems
Luo, Albert C. J.

1-dimensional flow arrays and bifurcations in planar polynomial systems[electronic resource] /by Albert C. J. Luo. - Singapore :Springer Nature Singapore :2024. - vii, 377 p. :ill., digital ;24 cm.

Constant and Self variable Polynomial Systems -- Constant and Crossing variable Polynomial Systems -- Single univariate Polynomial Systems -- Higher order Infinite equilibrium Bifurcations.

This book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems. The 1-dimensional source, sink and saddle flows are discussed, as well as the 1-dimensional parabola and inflection flows. The singular source, sink and saddle flows are the appearing and switching bifurcations for simple sink and source flow arrays and for lower-order singular source, sink and saddle flow arrays. The singular parabola and inflection flows are the appearing and switching bifurcations for simple parabola arrays and also for lower-order singular parabola and inflection flow arrays. The infinite-equilibriums in single-variable polynomial systems are also discussed, which are the appearing and switching bifurcations of hybrid arrays of source, sink, and saddle flows with parabola and inflections. This book helps readers understand the global dynamics of planar polynomial systems and the Hilbert sixteen problem.

ISBN: 9789819722044

Standard No.: 10.1007/978-981-97-2204-4doiSubjects--Topical Terms:

604754
Polynomials.

LC Class. No.: QA161.P59 / L86 2024

Dewey Class. No.: 512.9422

1-dimensional flow arrays and bifurcations in planar polynomial systems
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100 1 $a Luo, Albert C. J. $3 940597
245 1 0 $a 1-dimensional flow arrays and bifurcations in planar polynomial systems $h [electronic resource] / $c by Albert C. J. Luo.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2024.
300 $a vii, 377 p. : $b ill., digital ; $c 24 cm.
505 0 $a Constant and Self variable Polynomial Systems -- Constant and Crossing variable Polynomial Systems -- Single univariate Polynomial Systems -- Higher order Infinite equilibrium Bifurcations.
520 $a This book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems. The 1-dimensional source, sink and saddle flows are discussed, as well as the 1-dimensional parabola and inflection flows. The singular source, sink and saddle flows are the appearing and switching bifurcations for simple sink and source flow arrays and for lower-order singular source, sink and saddle flow arrays. The singular parabola and inflection flows are the appearing and switching bifurcations for simple parabola arrays and also for lower-order singular parabola and inflection flow arrays. The infinite-equilibriums in single-variable polynomial systems are also discussed, which are the appearing and switching bifurcations of hybrid arrays of source, sink, and saddle flows with parabola and inflections. This book helps readers understand the global dynamics of planar polynomial systems and the Hilbert sixteen problem.
650 0 $a Polynomials. $3 604754
650 0 $a Bifurcation theory. $3 544229
650 0 $a Flows (Differentiable dynamical systems) $3 704906
650 1 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Differential Equations. $3 907890
650 2 4 $a Complex Systems. $3 1566441
650 2 4 $a Systems Theory, Control. $3 893834
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-97-2204-4
950 $a Mathematics and Statistics (SpringerNature-11649)