03482nam a22005775i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172050001400186072001600200072001700216072002300233072001500256072001600271100008600287245016600373250001800539264006900557300006300626336002600689337002600715338003600741347002400777505024400801520117901045650002102224650003102245650003602276650003402312650003002346650002202376650002402398650003002422650003802452650006102490650005602551650003802607710003402645773002602679776003602705776003602741776003602777856004602813912001402859912001402873999001702887978-3-031-59574-5DE-He21320251030113232.0cr nn 008mamaa241018s2024    sz |    s    |||| 0|eng d  a97830315957459978-3-031-59574-57 a10.1007/978-3-031-59574-52doi 4aTA352-356 4aQC20.7.N6 7aTBJ2bicssc 7aGPFC2bicssc 7aSCI0640002bisacsh 7aTBJ2thema 7aGPFC2thema1 aLuo, Albert C. J.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98124110aTwo-dimensional Self and Product Cubic Systems, Vol. IIh[electronic resource] :bCrossing-linear and Self-quadratic Product Vector Field /cby Albert C. J. Luo.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aX, 238 p. 46 illus., 45 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aSelf and Product Cubic Systems -- Double-saddles, Third-order Saddle nodes -- Vertical Saddle-node Series and Switching Dynamics -- Saddle-nodes and third-order Saddles Source and Sink -- Simple equilibrium networks and switching dynamics.  aThis book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink) Develops a theory of self and product cubic systems with a crossing-linear and self-quadratic products vector field; Presents equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows with switching by up-down saddles; Shows equilibrium appearing bifurcations of various saddles, sinks, and flows. 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:z978303159573808iPrinted edition:z978303159575208iPrinted edition:z978303159576940uhttps://doi.org/10.1007/978-3-031-59574-5  aZDB-2-ENG  aZDB-2-SXE  c64287d64287