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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.
Autorius: | Albert C. J. Luo |
Serija: | Nonlinear Physical Science |
Leidėjas: | Springer Nature Singapore |
Išleidimo metai: | 2023 |
Knygos puslapių skaičius: | 460 |
ISBN-10: | 9811678715 |
ISBN-13: | 9789811678714 |
Formatas: | 235 x 155 x 25 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Two-Dimensional Quadratic Nonlinear Systems: Volume II: Bivariate Vector Fields“