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010   $a3-031-48491-6
024 7 $a10.1007/978-3-031-48491-9
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035   $a(DE-He213)978-3-031-48491-9
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100   $a20240725d2024      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aTwo-dimensional Two-product Cubic Systems Vol.II $eCrossing-linear and Self-quadratic Product Vector Fields /$fby Albert C. J. Luo
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (326 pages)
300   $aIncludes index.
311 08$a3-031-48490-8 
327   $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.
330   $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.
606   $aDynamics
606   $aNonlinear theories
606   $aSystem theory
606   $aMultibody systems
606   $aVibration
606   $aMechanics, Applied
606   $aAlgebra, Universal
606   $aEngineering mathematics
606   $aEngineering$xData processing
606   $aApplied Dynamical Systems
606   $aComplex Systems
606   $aMultibody Systems and Mechanical Vibrations
606   $aGeneral Algebraic Systems
606   $aMathematical and Computational Engineering Applications
615  0$aDynamics.
615  0$aNonlinear theories.
615  0$aSystem theory.
615  0$aMultibody systems.
615  0$aVibration.
615  0$aMechanics, Applied.
615  0$aAlgebra, Universal.
615  0$aEngineering mathematics.
615  0$aEngineering$xData processing.
615 14$aApplied Dynamical Systems.
615 24$aComplex Systems.
615 24$aMultibody Systems and Mechanical Vibrations.
615 24$aGeneral Algebraic Systems.
615 24$aMathematical and Computational Engineering Applications.
676   $a003
700   $aLuo$b Albert C. J.$0720985
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910878064703321
996   $aTwo-dimensional Two-product Cubic Systems Vol.II$94412521
997   $aUNINA