| Title | : | Two-Dimensional Quadratic Nonlinear Systems |
|---|---|---|
| Author | : | Albert C. J. Luo |
| Release | : | 2022-03-29 |
| Kind | : | ebook |
| Genre | : | Mathematics, Books, Science & Nature, Professional & Technical, Engineering |
| Size | : | 41935976 |
| 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. |
