Two-Dimensional Quadratic Nonlinear Systems: Volume II: Bivariate Vector Fields
Volume II: Bivariate Vector Fields
- Editore:
SPRINGER NATURE
- Collana:
- Nonlinear Physical Science
- EAN:
9789811678714
- ISBN:
9811678715
- Pagine:
- 445
- Formato:
- Paperback
- Lingua:
- Inglese
Descrizione Two-Dimensional Quadratic Nonlinear Systems: Volume II: Bivariate Vector Fields
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.