03106nam 22006735 450 991091778520332120250611203128.09789819722044981972204710.1007/978-981-97-2204-4(MiAaPQ)EBC31837001(Au-PeEL)EBL31837001(CKB)37018347100041(DE-He213)978-981-97-2204-4(EXLCZ)993701834710004120241214d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrier1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems /by Albert C. J. Luo1st ed. 2024.Singapore :Springer Nature Singapore :Imprint: Springer,2024.1 online resource (382 pages)9789819722037 9819722039 Constant and Self variable Polynomial Systems -- Constant and Crossing variable Polynomial Systems -- Single univariate Polynomial Systems -- Higher order Infinite equilibrium Bifurcations.This 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.DynamicsDifferential equationsSystem theoryControl theoryDynamical SystemsDifferential EquationsComplex SystemsSystems Theory, ControlSistemes complexosthubMatemàtica aplicadathubLlibres electrònicsthubDynamics.Differential equations.System theory.Control theory.Dynamical Systems.Differential Equations.Complex Systems.Systems Theory, Control.Sistemes complexosMatemàtica aplicada512.9422Luo Albert C. J720985MiAaPQMiAaPQMiAaPQBOOK99109177852033211-Dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems4303680UNINA