國立虎尾科技大學 |

Two-Dimensional Quadratic Nonlinear Systems = Volume II: Bivariate Vector Fields /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Two-Dimensional Quadratic Nonlinear Systems/ by Albert C. J. Luo.
其他題名:	Volume II: Bivariate Vector Fields /
作者:	Luo, Albert C. J.
面頁冊數:	X, 445 p. 117 illus., 113 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Complex Systems. -
電子資源:	https://doi.org/10.1007/978-981-16-7869-1
ISBN:	9789811678691

Two-Dimensional Quadratic Nonlinear Systems = Volume II: Bivariate Vector Fields /
Luo, Albert C. J.

Two-Dimensional Quadratic Nonlinear SystemsVolume II: Bivariate Vector Fields /[electronic resource] :by Albert C. J. Luo. - 1st ed. 2021. - X, 445 p. 117 illus., 113 illus. in color.online resource. - Nonlinear Physical Science,1867-8459. - Nonlinear Physical Science,.

Chapter 1 Two-dimensional Linear-bivariate Linear Systems -- Chapter 2 Single-linear-bivariate Quadratic Nonlinear Systems -- Chapter 3 Linear-bivariate Quadratic Dynamics -- Chapter 4 Linear-bivariate Product Quadratic Systems -- Chapter 5 Nonlinear-bivariate Quadratic Systems.

The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.

ISBN: 9789811678691

Standard No.: 10.1007/978-981-16-7869-1doiSubjects--Topical Terms:

888664
Complex Systems.

LC Class. No.: QA843-871

Dewey Class. No.: 515.39

Two-Dimensional Quadratic Nonlinear Systems = Volume II: Bivariate Vector Fields /
LDR:02627nam a22004095i 4500 001 1059482
003 DE-He213
005 20220329105454.0
007 cr nn 008mamaa
008 220414s2021 si | s |||| 0|eng d
020 $a 9789811678691 $9 978-981-16-7869-1
024 7 $a 10.1007/978-981-16-7869-1 $2 doi
035 $a 978-981-16-7869-1
050 4 $a QA843-871
072 7 $a GPFC $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 515.39 $2 23
100 1 $a Luo, Albert C. J. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 787936
245 1 0 $a Two-Dimensional Quadratic Nonlinear Systems $h [electronic resource] : $b Volume II: Bivariate Vector Fields / $c by Albert C. J. Luo.
250 $a 1st ed. 2021.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2021.
300 $a X, 445 p. 117 illus., 113 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Nonlinear Physical Science, $x 1867-8459
505 0 $a Chapter 1 Two-dimensional Linear-bivariate Linear Systems -- Chapter 2 Single-linear-bivariate Quadratic Nonlinear Systems -- Chapter 3 Linear-bivariate Quadratic Dynamics -- Chapter 4 Linear-bivariate Product Quadratic Systems -- Chapter 5 Nonlinear-bivariate Quadratic Systems.
520 $a The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.
650 2 4 $a Complex Systems. $3 888664
650 2 4 $a Applied Dynamical Systems. $3 1366186
650 2 4 $a Differential Equations. $3 681826
650 1 4 $a Dynamical Systems. $3 1366074
650 0 $a System theory. $3 566168
650 0 $a Nonlinear theories. $3 527937
650 0 $a Dynamics. $3 592238
650 0 $a Differential equations. $3 527664
650 0 $a Dynamical systems. $3 1249739
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811678684
776 0 8 $i Printed edition: $z 9789811678707
776 0 8 $i Printed edition: $z 9789811678714
830 0 $a Nonlinear Physical Science, $x 1867-8440 $3 1262565
856 4 0 $u https://doi.org/10.1007/978-981-16-7869-1
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)