04132nam a22005775i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172050001400186072001600200072001700216072002300233072001500256072001600271100008600287245014700373250001800520264006900538300006300607336002600670337002600696338003600722347002400758505032000782520177201102650002102874650003102895650003602926650003402962650003002996650002203026650002403048650003003072650003803102650006103140650005603201650003803257710003403295773002603329776003603355776003603391776003603427856004603463912001403509912001403523999001703537978-3-031-48487-2DE-He21320251030113258.0cr nn 008mamaa241105s2024    sz |    s    |||| 0|eng d  a97830314848729978-3-031-48487-27 a10.1007/978-3-031-48487-22doi 4aTA352-356 4aQC20.7.N6 7aTBJ2bicssc 7aGPFC2bicssc 7aSCI0640002bisacsh 7aTBJ2thema 7aGPFC2thema1 aLuo, Albert C. J.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98124110aTwo-dimensional Two-product Cubic Systems, Vol Ih[electronic resource] :bDifferent Product Structure Vector Fields /cby Albert C. J. Luo.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aX, 336 p. 55 illus., 54 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aChapter 1 Cubic Systems with Two different Product Structures -- Chapter 2 Parabola-saddle and Saddle-source (sink) Singularity -- Chapter 3 Inflection-source (sink) flows and parabola-saddles -- Chapter 4Saddle-source (sink) with hyperbolic flow singularity -- Chapter 5 Equilibrium matrices with hyperbolic flows.  aThis book, the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the equilibrium and flow singularity and bifurcations for appearing and switching bifurcations. The appearing bifurcations herein are parabola-saddles, saddle-sources (sinks), hyperbolic-to-hyperbolic-secant flows, and inflection-source (sink) flows. The switching bifurcations for saddle-source (sink) with hyperbolic-to-hyperbolic-secant flows and parabola-saddles with inflection-source (sink) flows are based on the parabola-source (sink), parabola-saddles, inflection-saddles infinite-equilibriums. The switching bifurcations for the network of the simple equilibriums with hyperbolic flows are parabola-saddles and inflection-source (sink) on the inflection-source and sink infinite-equilibriums. Readers will learn new concepts, theory, phenomena, and analysis techniques. · Two-different product-cubic systems · Hybrid networks of higher-order equilibriums and flows · Hybrid series of simple equilibriums and hyperbolic flows · Higher-singular equilibrium appearing bifurcations · Higher-order singular flow appearing bifurcations · Parabola-source (sink) infinite-equilibriums · Parabola-saddle infinite-equilibriums · Inflection-saddle infinite-equilibriums · Inflection-source (sink) infinite-equilibriums · Infinite-equilibrium switching bifurcations. Develops a theory of nonlinear dynamics and singularity of two-different product-cubic dynamical systems; Presents networks of singular and simple equilibriums and hyperbolic flows in such different structure product-cubic systems; Reveals network switching bifurcations through infinite-equilibriums of parabola-source (sink) and parabola-saddles. 0aDynamics.965524 0aNonlinear theories.965525 0aEngineering mathematics.964145 0aEngineeringxData processing. 0aMultibody systems.966046 0aVibration.966047 0aMechanics, Applied. 0aUniversal algebra.97555114aApplied Dynamical Systems.96553024aMathematical and Computational Engineering Applications.24aMultibody Systems and Mechanical Vibrations.96604824aGeneral Algebraic Systems.9755522 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303148486508iPrinted edition:z978303148488908iPrinted edition:z978303148489640uhttps://doi.org/10.1007/978-3-031-48487-2  aZDB-2-ENG  aZDB-2-SXE  c64707d64707