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101 0 $aeng
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200 10$aTwo-dimensional Crossing and Product Cubic Systems, Vol. I $eSelf-linear and Crossing-quadratic Product Vector Field /$fby Albert C. J. Luo
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (X, 239 p. 1 illus.) 
311 08$a9783031595813 
311 08$a3031595815 
327   $aSelf and product cubic systems -- Second and third order equibriliums -- Equilibrium series and switching dynamics -- Saddle nodes and hyperbolic flow series -- Simple equilibrium series and switching dynamics.
330   $aThis book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are: - double-inflection saddles, - inflection-source (sink) flows, - parabola-saddles (saddle-center), - third-order parabola-saddles, - third-order saddles and centers. · Develops a theory of crossing and product cubic systems with a self-linear and crossing-quadratic product vector field; · Presents singular equilibrium series with inflection-source (sink) flows and networks of simple equilibriums; · Shows equilibrium appearing bifurcations of (2,2)-double-inflection saddles and inflection-source (sink) flows.
606   $aDynamics
606   $aNonlinear theories
606   $aEngineering mathematics
606   $aEngineering$xData processing
606   $aAlgebra, Universal
606   $aPlasma waves
606   $aApplied Dynamical Systems
606   $aMathematical and Computational Engineering Applications
606   $aGeneral Algebraic Systems
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$aAlgebra, Universal.
615  0$aPlasma waves.
615 14$aApplied Dynamical Systems.
615 24$aMathematical and Computational Engineering Applications.
615 24$aGeneral Algebraic Systems.
615 24$aWaves, instabilities and nonlinear plasma dynamics.
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   $a9910983326903321
996   $aTwo-dimensional Crossing and Product Cubic Systems, Vol. I$94317540
997   $aUNINA