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

9789811678691 (electronic bk.)
9811678693 (electronic bk.)
9811678685
9789811678684

Singapore : Springer, 2021.

©2021

English

1 online resource (x, 445 pages).

10.1007/978-981-16-7869-1 doi

QA402 .L86 2021eb

003.75

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed April 11, 2022).

Nonlinear physical science.

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