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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Two-Dimensional Quadratic Nonlinear Systems/ by Albert C. J. Luo.
Reminder of title:	Volume II: Bivariate Vector Fields /
Author:	Luo, Albert C. J.
Description:	X, 445 p. 117 illus., 113 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Dynamical systems. -
Online resource:	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:

1249739
Dynamical systems.

LC Class. No.: QA843-871

Dewey Class. No.: 515.39

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