03256nam 22006495 450 991055848470332120230525085427.0981-16-7869-310.1007/978-981-16-7869-1(MiAaPQ)EBC6942701(Au-PeEL)EBL6942701(CKB)21441194000041(DE-He213)978-981-16-7869-1(PPN)261519832(EXLCZ)992144119400004120220329d2021 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierTwo-Dimensional Quadratic Nonlinear Systems Volume II: Bivariate Vector Fields /by Albert C. J. Luo1st ed. 2021.Singapore :Springer Nature Singapore :Imprint: Springer,2021.1 online resource (452 pages)Nonlinear Physical Science,1867-8459Print version: Luo, Albert C. J. Two-Dimensional Quadratic Nonlinear Systems Singapore : Springer Singapore Pte. Limited,c2022 9789811678684 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.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.Nonlinear Physical Science,1867-8459Dynamical systemsDifferential equationsDynamicsNonlinear theoriesSystem theoryDynamical SystemsDifferential EquationsApplied Dynamical SystemsComplex SystemsDynamical systems.Differential equations.Dynamics.Nonlinear theories.System theory.Dynamical Systems.Differential Equations.Applied Dynamical Systems.Complex Systems.511.3Luo Albert C. J.720985MiAaPQMiAaPQMiAaPQBOOK9910558484703321Two-Dimensional Quadratic Nonlinear Systems2824552UNINA