LEADER 03256nam 22006495 450 001 9910558484703321 005 20230525085427.0 010 $a981-16-7869-3 024 7 $a10.1007/978-981-16-7869-1 035 $a(MiAaPQ)EBC6942701 035 $a(Au-PeEL)EBL6942701 035 $a(CKB)21441194000041 035 $a(DE-He213)978-981-16-7869-1 035 $a(PPN)261519832 035 $a(EXLCZ)9921441194000041 100 $a20220329d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTwo-Dimensional Quadratic Nonlinear Systems $eVolume II: Bivariate Vector Fields /$fby Albert C. J. Luo 205 $a1st ed. 2021. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2021. 215 $a1 online resource (452 pages) 225 1 $aNonlinear Physical Science,$x1867-8459 311 08$aPrint version: Luo, Albert C. J. Two-Dimensional Quadratic Nonlinear Systems Singapore : Springer Singapore Pte. Limited,c2022 9789811678684 327 $aChapter 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. 330 $aThe book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering. 410 0$aNonlinear Physical Science,$x1867-8459 606 $aDynamical systems 606 $aDifferential equations 606 $aDynamics 606 $aNonlinear theories 606 $aSystem theory 606 $aDynamical Systems 606 $aDifferential Equations 606 $aApplied Dynamical Systems 606 $aComplex Systems 615 0$aDynamical systems. 615 0$aDifferential equations. 615 0$aDynamics. 615 0$aNonlinear theories. 615 0$aSystem theory. 615 14$aDynamical Systems. 615 24$aDifferential Equations. 615 24$aApplied Dynamical Systems. 615 24$aComplex Systems. 676 $a511.3 700 $aLuo$b Albert C. J.$0720985 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910558484703321 996 $aTwo-Dimensional Quadratic Nonlinear Systems$92824552 997 $aUNINA