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010   $a3-031-59559-9
024 7 $a10.1007/978-3-031-59559-2
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035   $a(Au-PeEL)EBL31718972
035   $a(CKB)36328090800041
035   $a(DE-He213)978-3-031-59559-2
035   $a(EXLCZ)9936328090800041
100   $a20241011d2024      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. III $eSelf-linear and Crossing Quadratic Product Vector Fields /$fby Albert C. J. Luo
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (292 pages)
311 08$a3-031-59558-0 
330   $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.
606   $aDynamics
606   $aNonlinear theories
606   $aMechanics, Applied
606   $aMultibody systems
606   $aVibration
606   $aAlgebra, Universal
606   $aPlasma waves
606   $aApplied Dynamical Systems
606   $aEngineering Mechanics
606   $aMultibody Systems and Mechanical Vibrations
606   $aGeneral Algebraic Systems
606   $aWaves, instabilities and nonlinear plasma dynamics
615  0$aDynamics.
615  0$aNonlinear theories.
615  0$aMechanics, Applied.
615  0$aMultibody systems.
615  0$aVibration.
615  0$aAlgebra, Universal.
615  0$aPlasma waves.
615 14$aApplied Dynamical Systems.
615 24$aEngineering Mechanics.
615 24$aMultibody Systems and Mechanical Vibrations.
615 24$aGeneral Algebraic Systems.
615 24$aWaves, instabilities and nonlinear plasma dynamics.
676   $a515.63
700   $aLuo$b Albert C. J$0720985
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910896525603321
996   $aTwo-Dimensional Two Product Cubic Systems, Vol. III$94211212
997   $aUNINA