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010   $a9783031570964$b(electronic bk.)
010   $z9783031570957
024 7 $a10.1007/978-3-031-57096-4
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035   $a(Au-PeEL)EBL31784461
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035   $a(DE-He213)978-3-031-57096-4
035   $a(EXLCZ)9936590111600041
100   $a20241116d2024      u|         0
101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aTwo-dimensional Self and Product Cubic Systems, Vol. I $eSelf-linear and Crossing-quadratic Product Vector Field /$fby Albert C. J. Luo
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (239 pages)
311 08$aPrint version: Luo, Albert C. J. Two-Dimensional Self and Product Cubic Systems, Vol. I Cham : Springer,c2024 9783031570957 
327   $aCrossing and Product cubic Systems -- Double-inflection Saddles and Parabola-saddles -- Three Parabola-saddle Series and Switching Dynamics -- Parabola-saddles, (1:1) and (1:3)-Saddles and Centers -- Equilibrium Networks and Switching with Hyperbolic Flows.
330   $aBack cover Materials Albert C J Luo Two-dimensional Self and Product Cubic Systems, Vol. I Self-linear and crossing-quadratic product vector field This book is the twelfth of 15 related monographs on Cubic Systems, discusses self and product cubic systems with a self-linear and crossing-quadratic product vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed. The volume explains how the equilibrium series with connected hyperbolic and hyperbolic-secant flows exist in such cubic systems, and that the corresponding switching bifurcations are obtained through the inflection-source and sink infinite-equilibriums. Finally, the author illustrates how, in such cubic systems, the appearing bifurcations include saddle-source (sink) for equilibriums and inflection-source and sink flows for the connected hyperbolic flows, and the third-order saddle, sink and source are the appearing and switching bifurcations for saddle-source (sink) with saddles, source and sink, and also for saddle, sink and source. · Develops a theory of self and product cubic systems with a self-linear and crossing-quadratic product vector field; · Presents equilibrium series with flow singularity and connected hyperbolic and hyperbolic-secant flows; · Shows equilibrium series switching bifurcations through a range of sources and saddles on the infinite-equilibriums.
606   $aDynamics
606   $aNonlinear theories
606   $aEngineering mathematics
606   $aEngineering$xData processing
606   $aAlgebra, Universal
606   $aMultibody systems
606   $aVibration
606   $aMechanics, Applied
606   $aPlasma waves
606   $aApplied Dynamical Systems
606   $aMathematical and Computational Engineering Applications
606   $aGeneral Algebraic Systems
606   $aMultibody Systems and Mechanical Vibrations
606   $aWaves, instabilities and nonlinear plasma dynamics
615  0$aDynamics.
615  0$aNonlinear theories.
615  0$aEngineering mathematics.
615  0$aEngineering$xData processing.
615  0$aAlgebra, Universal.
615  0$aMultibody systems.
615  0$aVibration.
615  0$aMechanics, Applied.
615  0$aPlasma waves.
615 14$aApplied Dynamical Systems.
615 24$aMathematical and Computational Engineering Applications.
615 24$aGeneral Algebraic Systems.
615 24$aMultibody Systems and Mechanical Vibrations.
615 24$aWaves, instabilities and nonlinear plasma dynamics.
676   $a515.39
700   $aLuo$b Albert C. J$0720985
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9910908380403321
996   $aTwo-Dimensional Self and Product Cubic Systems, Vol. I$94291102
997   $aUNINA