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Full 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.
Contents
Chapter 1 Two-dimensional Linear-bivariate Linear Systems.- Chapter 2 Single-linear-bivariate Quadratic Nonlinear Systems.- Chapter 3 Linear-bivariate Quadratic Dynamics.- Chapter 4 Linear-bivariate Product Quadratic Systems.- Chapter 5 Nonlinear-bivariate Quadratic Systems.
