東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

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

Record Type:	Electronic resources : 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.
[NT 15003449]:	Constant and Product-Cubic Systems -- Self-linear and Product-cubic systems -- Crossing-linear and Product-cubic systems.
Contained By:	Springer Nature eBook
標題:	Nonlinear systems. -
電子資源:	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:

686475
Nonlinear systems.

LC Class. No.: QA402

Dewey Class. No.: 515.252

Two-dimensional product-cubic systems.. Vol. I,. Constant and linear vector fields
LDR:02868nmm a2200337 a 4500 001 2380488
003 DE-He213
005 20241101115728.0
006 m d
007 cr nn 008maaau
008 250418s2024 sz s 0 eng d
020 $a 9783031570926 $q (electronic bk.)
020 $a 9783031570919 $q (paper)
024 7 $a 10.1007/978-3-031-57092-6 $2 doi
035 $a 978-3-031-57092-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402
072 7 $a PHFP $2 bicssc
072 7 $a SCI055000 $2 bisacsh
072 7 $a PHFP $2 thema
082 0 4 $a 515.252 $2 23
090 $a QA402 $b .L964 2024
100 1 $a Luo, Albert C. J. $3 940597
245 1 0 $a Two-dimensional product-cubic systems. $n Vol. I, $p Constant and linear vector fields $h [electronic resource] / $c by Albert C. J. Luo.
246 3 0 $a Constant and linear vector fields
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a x, 250 p. : $b ill. (chiefly color), digital ; $c 24 cm.
505 0 $a Constant and Product-Cubic Systems -- Self-linear and Product-cubic systems -- Crossing-linear and Product-cubic systems.
520 $a 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.
650 0 $a Nonlinear systems. $3 686475
650 0 $a Equations, Cubic. $3 2139540
650 0 $a Vector fields. $3 705428
650 0 $a Method of steepest descent (Numerical analysis) $3 696899
650 1 4 $a Waves, instabilities and nonlinear plasma dynamics. $3 3592701
650 2 4 $a Multibody Systems and Mechanical Vibrations. $3 3595519
650 2 4 $a Applied Dynamical Systems. $3 3538870
650 2 4 $a Engineering Mechanics. $3 3538834
650 2 4 $a Computational Science and Engineering. $3 893018
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-57092-6
950 $a Physics and Astronomy (SpringerNature-11651)