LEADER 03190nam 22006975 450 001 9910917785203321 005 20250611203128.0 010 $a9789819722044 010 $a9819722047 024 7 $a10.1007/978-981-97-2204-4 035 $a(MiAaPQ)EBC31837001 035 $a(Au-PeEL)EBL31837001 035 $a(CKB)37018347100041 035 $a(DE-He213)978-981-97-2204-4 035 $a(OCoLC)1479627285 035 $a(EXLCZ)9937018347100041 100 $a20241214d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$a1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems /$fby Albert C. J. Luo 205 $a1st ed. 2024. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024. 215 $a1 online resource (382 pages) 225 0 $aMathematics and Statistics Series 311 08$a9789819722037 311 08$a9819722039 327 $aConstant and Self variable Polynomial Systems -- Constant and Crossing variable Polynomial Systems -- Single univariate Polynomial Systems -- Higher order Infinite equilibrium Bifurcations. 330 $aThis book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems. The 1-dimensional source, sink and saddle flows are discussed, as well as the 1-dimensional parabola and inflection flows. The singular source, sink and saddle flows are the appearing and switching bifurcations for simple sink and source flow arrays and for lower-order singular source, sink and saddle flow arrays. The singular parabola and inflection flows are the appearing and switching bifurcations for simple parabola arrays and also for lower-order singular parabola and inflection flow arrays. The infinite-equilibriums in single-variable polynomial systems are also discussed, which are the appearing and switching bifurcations of hybrid arrays of source, sink, and saddle flows with parabola and inflections. This book helps readers understand the global dynamics of planar polynomial systems and the Hilbert sixteen problem. 606 $aDynamics 606 $aDifferential equations 606 $aSystem theory 606 $aControl theory 606 $aDynamical Systems 606 $aDifferential Equations 606 $aComplex Systems 606 $aSystems Theory, Control 606 $aSistemes complexos$2thub 606 $aMatemātica aplicada$2thub 608 $aLlibres electrōnics$2thub 615 0$aDynamics. 615 0$aDifferential equations. 615 0$aSystem theory. 615 0$aControl theory. 615 14$aDynamical Systems. 615 24$aDifferential Equations. 615 24$aComplex Systems. 615 24$aSystems Theory, Control. 615 7$aSistemes complexos 615 7$aMatemātica aplicada 676 $a512.9422 700 $aLuo$b Albert C. J$0720985 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910917785203321 996 $a1-Dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems$94303680 997 $aUNINA