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Two-dimensional quadratic nonlinear ...

Luo, Albert C. J.

Two-dimensional quadratic nonlinear systems.Volume II,Bivariate vector fields

Record Type:	Electronic resources : Monograph/item
Title/Author:	Two-dimensional quadratic nonlinear systems.by Albert C. J. Luo.
remainder title:	Bivariate vector fields
Author:	Luo, Albert C. J.
Published:	Singapore :Springer Singapore :2021.
Description:	1 online resource (x, 445 p.) :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Nonlinear systems.
Online resource:	https://doi.org/10.1007/978-981-16-7869-1
ISBN:	9789811678691$q(electronic bk.)

Two-dimensional quadratic nonlinear systems.Volume II,Bivariate vector fields
Luo, Albert C. J.

Two-dimensional quadratic nonlinear systems.Volume II,Bivariate vector fields[electronic resource] /Bivariate vector fieldsby Albert C. J. Luo. - Singapore :Springer Singapore :2021. - 1 online resource (x, 445 p.) :ill., digital ;24 cm. - 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$q(electronic bk.)

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

182906
Nonlinear systems.

LC Class. No.: QA402 / L86 2021

Dewey Class. No.: 003.75

Two-dimensional quadratic nonlinear systems.Volume II,Bivariate vector fields
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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.
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