LEADER 04343nam  22007215  450 
001 9910903799403321
005 20250808093414.0
010   $a9783031484872
010   $a3031484878
024 7 $a10.1007/978-3-031-48487-2
035   $a(MiAaPQ)EBC31755507
035   $a(Au-PeEL)EBL31755507
035   $a(CKB)36514421400041
035   $a(DE-He213)978-3-031-48487-2
035   $a(EXLCZ)9936514421400041
100   $a20241105d2024      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 I $eDifferent Product Structure Vector Fields /$fby Albert C. J. Luo
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (342 pages)
300   $aIncludes index.
311 08$a9783031484865 
311 08$a303148486X 
327   $aChapter 1 Cubic Systems with Two different Product Structures -- Chapter 2 Parabola-saddle and Saddle-source (sink) Singularity -- Chapter 3 Inflection-source (sink) flows and parabola-saddles -- Chapter 4Saddle-source (sink) with hyperbolic flow singularity -- Chapter 5 Equilibrium matrices with hyperbolic flows.
330   $aThis book, the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the equilibrium and flow singularity and bifurcations for appearing and switching bifurcations. The appearing bifurcations herein are parabola-saddles, saddle-sources (sinks), hyperbolic-to-hyperbolic-secant flows, and inflection-source (sink) flows. The switching bifurcations for saddle-source (sink) with hyperbolic-to-hyperbolic-secant flows and parabola-saddles with inflection-source (sink) flows are based on the parabola-source (sink), parabola-saddles, inflection-saddles infinite-equilibriums. The switching bifurcations for the network of the simple equilibriums with hyperbolic flows are parabola-saddles and inflection-source (sink) on the inflection-source and sink infinite-equilibriums. Readers will learn new concepts, theory, phenomena, and analysis techniques. · Two-different product-cubic systems · Hybrid networks of higher-order equilibriums and flows · Hybrid series of simple equilibriums and hyperbolic flows · Higher-singular equilibrium appearing bifurcations · Higher-order singular flow appearing bifurcations · Parabola-source (sink) infinite-equilibriums · Parabola-saddle infinite-equilibriums · Inflection-saddle infinite-equilibriums · Inflection-source (sink) infinite-equilibriums · Infinite-equilibrium switching bifurcations. Develops a theory of nonlinear dynamics and singularity of two-different product-cubic dynamical systems; Presents networks of singular and simple equilibriums and hyperbolic flows in such different structure product-cubic systems; Reveals network switching bifurcations through infinite-equilibriums of parabola-source (sink) and parabola-saddles.
606   $aDynamics
606   $aNonlinear theories
606   $aEngineering mathematics
606   $aEngineering$xData processing
606   $aMultibody systems
606   $aVibration
606   $aMechanics, Applied
606   $aAlgebra, Universal
606   $aApplied Dynamical Systems
606   $aMathematical and Computational Engineering Applications
606   $aMultibody Systems and Mechanical Vibrations
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$aMechanics, Applied.
615  0$aAlgebra, Universal.
615 14$aApplied Dynamical Systems.
615 24$aMathematical and Computational Engineering Applications.
615 24$aMultibody Systems and Mechanical Vibrations.
615 24$aGeneral Algebraic Systems.
676   $a512.82
700   $aLuo$b Albert C. J.$0720985
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910903799403321
996   $aTwo-dimensional Two-product Cubic Systems, Vol I$94435673
997   $aUNINA