Two-Dimensional Quadratic Nonlinear Systems
Volume II: Bivariate Vector Fields
Series: Nonlinear Physical Science;
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Product details:
- Edition number 1st ed. 2021
- Publisher Springer Nature Singapore
- Date of Publication 12 March 2026
- Number of Volumes 1 pieces, Book
- ISBN 9789811678714
- Binding Paperback
- See also 9789811678684
- No. of pages445 pages
- Size 235x155 mm
- Weight 700 g
- Language English
- Illustrations X, 445 p. 117 illus., 113 illus. in color. Illustrations, black & white 700
Categories
Long description:
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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