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024 7 $a10.1007/978-3-031-57104-6
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035   $a(Au-PeEL)EBL31747165
035   $a(DE-He213)978-3-031-57104-6
035   $a(EXLCZ)9936443041300041
100   $a20241031d2024      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aTwo-dimensional Product-Cubic Systems, Vol. IV $eCrossing-quadratic Vector Fields /$fby Albert C. J. Luo
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (262 pages)
311 08$a3-031-57103-7 
327   $aPreface  -- Crossing-quadratic and product-cubic systems -- Double-inflection-saddles and bifurcation dynamics -- Parabola-saddles and bifurcation.
330   $aThis book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink). The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include: Parabola-source (sink) infinite-equilibriums, Inflection-source (sink) infinite-equilibriums, Hyperbolic (circular) sink-to source infinite-equilibriums, Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums. Develops a theory of cubic dynamical systems having a product-cubic vector field and a crossing-quadratic vector field; Shows equilibriums and paralleled hyperbolic and hyperbolic-secant flows with switching though infinite-equilibriums; Presents CCW and CW centers separated by a paralleled hyperbolic flow and positive and negative saddles. .
606   $aDynamics
606   $aNonlinear theories
606   $aDynamics
606   $aMultibody systems
606   $aVibration
606   $aMechanics, Applied
606   $aEngineering mathematics
606   $aEngineering$xData processing
606   $aAlgebra, Universal
606   $aApplied Dynamical Systems
606   $aDynamical Systems
606   $aMultibody Systems and Mechanical Vibrations
606   $aMathematical and Computational Engineering Applications
606   $aGeneral Algebraic Systems
615  0$aDynamics.
615  0$aNonlinear theories.
615  0$aDynamics.
615  0$aMultibody systems.
615  0$aVibration.
615  0$aMechanics, Applied.
615  0$aEngineering mathematics.
615  0$aEngineering$xData processing.
615  0$aAlgebra, Universal.
615 14$aApplied Dynamical Systems.
615 24$aDynamical Systems.
615 24$aMultibody Systems and Mechanical Vibrations.
615 24$aMathematical and Computational Engineering Applications.
615 24$aGeneral Algebraic Systems.
676   $a515.39
700   $aLuo$b Albert C. J$0720985
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910903790203321
996   $aTwo-dimensional Product-Cubic Systems, Vol. IV$94273152
997   $aUNINA