東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁 到查詢結果 [ subject:"Vector fields." ]

切換: 標籤 | MARC模式 | ISBD

Two-dimensional quadratic nonlinear ...

Luo, Albert C. J.

FindBook

Google Book

Amazon

博客來

Two-dimensional quadratic nonlinear systemss.. Volume I,. Univariate vector fields

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Two-dimensional quadratic nonlinear systemss./ by Albert C. J. Luo.
其他題名:	Univariate vector fields
作者:	Luo, Albert C. J.
出版者:	Singapore :Springer Nature Singapore : : 2023.,
面頁冊數:	xiii, 685 p. :ill., digital ;24 cm.
內容註:	Chapter 1 Two-dimensional Linear Dynamical Systems -- Chapter 2 Single-variable Quadratic Systems with a Self-univariate Quadratic Vector Field -- Chapter 3 Single-variable Quadratic Systems with a Non-self-univariate Quadratic Vector Field -- Chapter 4 Variable-independent quadratic systems -- Chapter 5 Variable-crossing univariate quadratic systems -- Chapter 6 Two-univariate product quadratic systems -- Chapter 7 Product-bivariate Quadratic Systems with Self-univariate Vector Fields -- Chapter 8 Product-bivariate Quadratic Systems with Non-self-univariate Vector Fields.
Contained By:	Springer Nature eBook
標題:	Nonlinear systems. -
電子資源:	https://doi.org/10.1007/978-981-16-7873-8
ISBN:	9789811678738

Two-dimensional quadratic nonlinear systemss.. Volume I,. Univariate vector fields
Luo, Albert C. J.

Two-dimensional quadratic nonlinear systemss.Volume I,Univariate vector fields[electronic resource] /Univariate vector fieldsby Albert C. J. Luo. - Singapore :Springer Nature Singapore :2023. - xiii, 685 p. :ill., digital ;24 cm. - Nonlinear physical science,1867-8459. - Nonlinear physical science..

Chapter 1 Two-dimensional Linear Dynamical Systems -- Chapter 2 Single-variable Quadratic Systems with a Self-univariate Quadratic Vector Field -- Chapter 3 Single-variable Quadratic Systems with a Non-self-univariate Quadratic Vector Field -- Chapter 4 Variable-independent quadratic systems -- Chapter 5 Variable-crossing univariate quadratic systems -- Chapter 6 Two-univariate product quadratic systems -- Chapter 7 Product-bivariate Quadratic Systems with Self-univariate Vector Fields -- Chapter 8 Product-bivariate Quadratic Systems with Non-self-univariate Vector Fields.

This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilbert's sixteenth problem. Possible singular dynamics of the two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering.

ISBN: 9789811678738

Standard No.: 10.1007/978-981-16-7873-8doiSubjects--Topical Terms:

686475
Nonlinear systems.

LC Class. No.: QA402 / .L86 2023

Dewey Class. No.: 03.75

Two-dimensional quadratic nonlinear systemss.. Volume I,. Univariate vector fields
LDR:03012nmm a2200349 a 4500 001 2318039
003 DE-He213
005 20230420003431.0
006 m d
007 cr nn 008maaau
008 230902s2023 si s 0 eng d
020 $a 9789811678738 $q (electronic bk.)
020 $a 9789811678721 $q (paper)
024 7 $a 10.1007/978-981-16-7873-8 $2 doi
035 $a 978-981-16-7873-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402 $b .L86 2023
072 7 $a GPFC $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 03.75 $2 23
090 $a QA402 $b .L964 2023
100 1 $a Luo, Albert C. J. $3 940597
245 1 0 $a Two-dimensional quadratic nonlinear systemss. $n Volume I, $p Univariate vector fields $h [electronic resource] / $c by Albert C. J. Luo.
246 3 0 $a Univariate vector fields
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2023.
300 $a xiii, 685 p. : $b ill., digital ; $c 24 cm.
490 1 $a Nonlinear physical science, $x 1867-8459
505 0 $a Chapter 1 Two-dimensional Linear Dynamical Systems -- Chapter 2 Single-variable Quadratic Systems with a Self-univariate Quadratic Vector Field -- Chapter 3 Single-variable Quadratic Systems with a Non-self-univariate Quadratic Vector Field -- Chapter 4 Variable-independent quadratic systems -- Chapter 5 Variable-crossing univariate quadratic systems -- Chapter 6 Two-univariate product quadratic systems -- Chapter 7 Product-bivariate Quadratic Systems with Self-univariate Vector Fields -- Chapter 8 Product-bivariate Quadratic Systems with Non-self-univariate Vector Fields.
520 $a This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilbert's sixteenth problem. Possible singular dynamics of the two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering.
650 0 $a Nonlinear systems. $3 686475
650 0 $a Vector fields. $3 705428
650 0 $a Computational complexity. $3 523870
650 1 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Complex Systems. $3 1566441
650 2 4 $a Applied Dynamical Systems. $3 3538870
650 2 4 $a Control and Systems Theory. $3 3381515
650 2 4 $a Differential Equations. $3 907890
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Nonlinear physical science. $3 1314342
856 4 0 $u https://doi.org/10.1007/978-981-16-7873-8
950 $a Physics and Astronomy (SpringerNature-11651)