02685nam a22004575i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153072001700167072002300184072001600207100007900223245012300302250001800425264007200443300006400515336002600579337002600605338003600631347002400667505019400691520093700885650002301822650002801845650001901873650002001892650002301912650002801935650002101963650002901984710003402013773002602047776003602073776003602109776003602145856004602181978-981-97-2204-4DE-He21320251030114617.0cr nn 008mamaa241214s2024    si |    s    |||| 0|eng d  a97898197220447 a10.1007/978-981-97-2204-42doi 4aQA843-871 7aGPFC2bicssc 7aMAT0340002bisacsh 7aGPFC2thema1 aLuo, Albert C. J.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10a1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systemsh[electronic resource] /cby Albert C. J. Luo.  a1st ed. 2024. 1aSingapore :bSpringer Nature Singapore :bImprint: Springer,c2024.  aIX, 377 p. 49 illus., 48 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aConstant and Self variable Polynomial Systems -- Constant and Crossing variable Polynomial Systems -- Single univariate Polynomial Systems -- Higher order Infinite equilibrium Bifurcations.  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. 0aDynamical systems. 0aDifferential equations. 0aSystem theory. 0aControl theory.14aDynamical Systems.24aDifferential Equations.24aComplex Systems.24aSystems Theory, Control.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978981972203708iPrinted edition:z978981972205108iPrinted edition:z978981972206840uhttps://doi.org/10.1007/978-981-97-2204-4