03430nam a22005655i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153050001400167072001600181072001700197072002300214072001500237072001600252100007900268245016000347250001800507264006900525300006300594336002600657337002600683338003600709347002400745505027400769520120901043650001402252650002402266650001902290650002302309650001502332650002402347650002302371650002902394650003402423650003102457650002102488650004902509650003102558650006102589710003402650773002602684776003602710776003602746776003602782856004602818978-3-031-48491-9DE-He21320251030112648.0cr nn 008mamaa240725s2024    sz |    s    |||| 0|eng d  a97830314849197 a10.1007/978-3-031-48491-92doi 4aTA352-356 4aQC20.7.N6 7aTBJ2bicssc 7aGPFC2bicssc 7aSCI0640002bisacsh 7aTBJ2thema 7aGPFC2thema1 aLuo, Albert C. J.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aTwo-dimensional Two-product Cubic Systems Vol.IIh[electronic resource] :bCrossing-linear and Self-quadratic Product Vector Fields /cby Albert C. J. Luo.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aX, 322 p. 98 illus., 97 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aPreface -- Crossing-linear and Self-quadratic Product Systems -- Double-saddles and switching dynamics -- Vertically Paralleled Saddle-source and Saddle-sink -- Horizontally Paralleled Saddle-source and Saddle-sink -- Simple Equilibrium Networks and Switching Dynamics.  aThis book, the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds. The equilibrium and flow singularity and bifurcations discussed in this volume are for the appearing and switching bifurcations. The double-saddle equilibriums described are the appearing bifurcations for saddle source and saddle-sink, and for a network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations are also presented, specifically: · Inflection-saddle infinite-equilibriums, · Hyperbolic (hyperbolic-secant)-sink and source infinite-equilibriums · Up-down and down-up saddle infinite-equilibriums, · Inflection-source (sink) infinite-equilibriums. Develops a theory of nonlinear dynamics and singularity of crossing-linear and self-quadratic product dynamical systems; Shows hybrid networks of singular/simple equilibriums and hyperbolic flows in two same structure product-cubic systems; Presents network switching bifurcations through infinite-equilibriums of inflection-saddles hyperbolic-sink and source. 0aDynamics. 0aNonlinear theories. 0aSystem theory. 0aMultibody systems. 0aVibration. 0aMechanics, Applied. 0aUniversal algebra. 0aEngineering mathematics. 0aEngineeringxData processing.14aApplied Dynamical Systems.24aComplex Systems.24aMultibody Systems and Mechanical Vibrations.24aGeneral Algebraic Systems.24aMathematical and Computational Engineering Applications.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303148490208iPrinted edition:z978303148492608iPrinted edition:z978303148493340uhttps://doi.org/10.1007/978-3-031-48491-9