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010   $a9783031571008
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024 7 $a10.1007/978-3-031-57100-8
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100   $a20250330d2025      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aTwo-dimensional Crossing and Product Cubic Systems, Vol. II $eCrossing-linear and Self-quadratic Product Vector Field /$fby Albert C. J. Luo
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (X, 259 p. 83 illus., 82 illus. in color.) 
311 08$a9783031570995 
311 08$a3031570995 
327   $aQuadratic and Cubic Product Systems -- Inflection Singularity and Bifurcation Dynamics -- Saddle-node and hyperbolic-flow singular dynamics.
330   $aThis book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center). Develops a theory of crossing and product cubic systems with a crossing-linear and self-quadratic product vector field; Presents equilibrium series with hyperbolic-to-hyperbolic-scant flows and with paralleled hyperbolic flows; Shows equilibrium series switching bifurcations by up-down hyperbolic upper-to-lower saddles, parabola-saddles, et al.
606   $aDynamics
606   $aNonlinear theories
606   $aEngineering mathematics
606   $aEngineering$xData processing
606   $aMultibody systems
606   $aVibration
606   $aMechanics, Applied
606   $aPlasma waves
606   $aAlgebra, Universal
606   $aApplied Dynamical Systems
606   $aMathematical and Computational Engineering Applications
606   $aMultibody Systems and Mechanical Vibrations
606   $aWaves, instabilities and nonlinear plasma dynamics
606   $aGeneral Algebraic Systems
615  0$aDynamics.
615  0$aNonlinear theories.
615  0$aEngineering mathematics.
615  0$aEngineering$xData processing.
615  0$aMultibody systems.
615  0$aVibration.
615  0$aMechanics, Applied.
615  0$aPlasma waves.
615  0$aAlgebra, Universal.
615 14$aApplied Dynamical Systems.
615 24$aMathematical and Computational Engineering Applications.
615 24$aMultibody Systems and Mechanical Vibrations.
615 24$aWaves, instabilities and nonlinear plasma dynamics.
615 24$aGeneral Algebraic Systems.
676   $a515.39
700   $aLuo$b Albert C. J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720985
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910992790903321
996   $aTwo-dimensional Crossing and Product Cubic Systems, Vol. II$94349102
997   $aUNINA