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Two-dimensional crossing and product...

Luo, Albert C. J.

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Two-dimensional crossing and product cubic systems.. Vol. II,. Crossing-linear and self-quadratic product vector field

Record Type:	Electronic resources : Monograph/item
Title/Author:	Two-dimensional crossing and product cubic systems./ by Albert C. J. Luo.
remainder title:	Crossing-linear and self-quadratic product vector field
Author:	Luo, Albert C. J.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	x, 259 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Quadratic and Cubic Product Systems -- Inflection Singularity and Bifurcation Dynamics -- Saddle-node and hyperbolic-flow singular dynamics.
Contained By:	Springer Nature eBook
Subject:	Nonlinear systems. -
Online resource:	https://doi.org/10.1007/978-3-031-57100-8
ISBN:	9783031571008

Two-dimensional crossing and product cubic systems.. Vol. II,. Crossing-linear and self-quadratic product vector field
Luo, Albert C. J.

Two-dimensional crossing and product cubic systems.Vol. II,Crossing-linear and self-quadratic product vector field[electronic resource] /Crossing-linear and self-quadratic product vector fieldby Albert C. J. Luo. - Cham :Springer Nature Switzerland :2025. - x, 259 p. :ill. (some col.), digital ;24 cm.

Quadratic and Cubic Product Systems -- Inflection Singularity and Bifurcation Dynamics -- Saddle-node and hyperbolic-flow singular dynamics.

This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center). Develops a theory of crossing and product cubic systems with a crossing-linear and self-quadratic product vector field; Presents equilibrium series with hyperbolic-to-hyperbolic-scant flows and with paralleled hyperbolic flows; Shows equilibrium series switching bifurcations by up-down hyperbolic upper-to-lower saddles, parabola-saddles, et al.

ISBN: 9783031571008

Standard No.: 10.1007/978-3-031-57100-8doiSubjects--Topical Terms:

686475
Nonlinear systems.

LC Class. No.: QA402

Dewey Class. No.: 515.252

Two-dimensional crossing and product cubic systems.. Vol. II,. Crossing-linear and self-quadratic product vector field
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505 0 $a Quadratic and Cubic Product Systems -- Inflection Singularity and Bifurcation Dynamics -- Saddle-node and hyperbolic-flow singular dynamics.
520 $a This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center). Develops a theory of crossing and product cubic systems with a crossing-linear and self-quadratic product vector field; Presents equilibrium series with hyperbolic-to-hyperbolic-scant flows and with paralleled hyperbolic flows; Shows equilibrium series switching bifurcations by up-down hyperbolic upper-to-lower saddles, parabola-saddles, et al.
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