03351nam a22005655i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172050001400186072001600200072001700216072002300233072001500256072001600271100008600287245016300373250001800536264006900554300006300623336002600686337002600712338003600738347002400774520132300798650002102121650003102142650002402173650003002197650002202227650003002249650002502279650003802304650002702342650005602369650003802425650006302463710003402526773002602560776003602586776003602622776003602658856004602694912001402740912001402754999001702768978-3-031-59559-2DE-He21320251030113136.0cr nn 008mamaa241011s2024    sz |    s    |||| 0|eng d  a97830315955929978-3-031-59559-27 a10.1007/978-3-031-59559-22doi 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. IIIh[electronic resource] :bSelf-linear and Crossing Quadratic Product Vector Fields /cby Albert C. J. Luo.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aX, 284 p. 72 illus., 71 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda  aThis book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing bifurcations of saddle and center. The inflection-source and sink flows are the appearing bifurcations for connected hyperbolic and hyperbolic-secant flows. Networks of higher-order equilibriums and flows are presented. For the network switching, the inflection-sink and source infinite-equilibriums exist, and parabola-source and sink infinite-equilibriums are obtained. The equilibrium networks with connected hyperbolic and hyperbolic-secant flows are discussed. The inflection-source and sink infinite-equilibriums are for the switching bifurcation of two equilibrium networks. Develops a theory of nonlinear dynamics and singularity of crossing-linear and self-quadratic product systems; Presents networks of singular, simple center and saddle with hyperbolic flows in same structure product-cubic systems; Reveals s network switching bifurcations through hyperbolic, parabola, circle sink and other parabola-saddles. 0aDynamics.965524 0aNonlinear theories.965525 0aMechanics, Applied. 0aMultibody systems.966046 0aVibration.966047 0aUniversal algebra.975551 0aPlasma waves.96974914aApplied Dynamical Systems.96553024aEngineering Mechanics.24aMultibody Systems and Mechanical Vibrations.96604824aGeneral Algebraic Systems.97555224aWaves, instabilities and nonlinear plasma dynamics.9697502 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303159558508iPrinted edition:z978303159560808iPrinted edition:z978303159561540uhttps://doi.org/10.1007/978-3-031-59559-2  aZDB-2-ENG  aZDB-2-SXE  c64115d64115