國立虎尾科技大學 |

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

Record Type:	Language materials, printed : 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.;
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:

569004
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
LDR:02528nam a2200361 a 4500 001 1161253
003 DE-He213
005 20250330141137.0
006 m d
007 cr nn 008maaau
008 251029s2025 sz s 0 eng d
020 $a 9783031571008 $q (electronic bk.)
020 $a 9783031570995 $q (paper)
024 7 $a 10.1007/978-3-031-57100-8 $2 doi
035 $a 978-3-031-57100-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402
072 7 $a TBJ $2 bicssc
072 7 $a GPFC $2 bicssc
072 7 $a SCI064000 $2 bisacsh
072 7 $a TBJ $2 thema
072 7 $a GPFC $2 thema
082 0 4 $a 515.252 $2 23
090 $a QA402 $b .L964 2025
100 1 $a Luo, Albert C. J. $3 787936
245 1 0 $a Two-dimensional crossing and product cubic systems. $n Vol. II, $p Crossing-linear and self-quadratic product vector field $h [electronic resource] / $c by Albert C. J. Luo.
246 3 0 $a Crossing-linear and self-quadratic product vector field
260 $a Cham : $c 2025. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a x, 259 p. : $b ill. (some col.), digital ; $c 24 cm.
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.
650 0 $a Nonlinear systems. $3 569004
650 0 $a Equations, Cubic. $3 1211351
650 0 $a Equations, Quadratic. $3 1488146
650 1 4 $a Applied Dynamical Systems. $3 1366186
650 2 4 $a Mathematical and Computational Engineering Applications. $3 1387767
650 2 4 $a Multibody Systems and Mechanical Vibrations. $3 1366276
650 2 4 $a Waves, instabilities and nonlinear plasma dynamics. $3 1388880
650 2 4 $a General Algebraic Systems. $3 672227
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-57100-8
950 $a Engineering (SpringerNature-11647)