@article{1441937, author = {Luo, Albert C. J.}, url = {http://library.usi.edu/record/1441937}, title = {Two-dimensional quadratic nonlinear systems., Volume II,: Bivariate vector fields /}, abstract = {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.}, doi = {https://doi.org/10.1007/978-981-16-7869-1}, recid = {1441937}, pages = {1 online resource (x, 445 pages).}, }