Two-dimensional quadratic nonlinear systems. Volume II, Bivariate vector fields / Albert C. J. Luo.
Luo, Albert C. J.
2021
QA402 .L86 2021eb
Available Online

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Title Two-dimensional quadratic nonlinear systems. Volume II, Bivariate vector fields / Albert C. J. Luo.
Author Luo, Albert C. J.
ISBN 9789811678691 (electronic bk.)
9811678693 (electronic bk.)
9811678685
9789811678684
DOI https://doi.org/10.1007/978-981-16-7869-1
Published Singapore : Springer, 2021.
Copyright ©2021
Language English
Description 1 online resource (x, 445 pages).
Item Number 10.1007/978-981-16-7869-1 doi
Call Number QA402 .L86 2021eb
Dewey Decimal Classification 003.75
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed April 11, 2022).
Series Nonlinear physical science.
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Two-Dimensional Linear-Bivariate Linear Systems
Single-Linear-Bivariate Quadratic Systems
Linear-Bivariate Quadratic Dynamics
Linear-Bivariate Product Quadratic Systems
Nonlinear-Bivariate Quadratic Systems.

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