LEADER 04019nam  22007095  450 
001 9910903792103321
005 20241101115728.0
010   $a9783031570926
010   $a3031570928
024 7 $a10.1007/978-3-031-57092-6
035   $a(MiAaPQ)EBC31749040
035   $a(Au-PeEL)EBL31749040
035   $a(CKB)36479390400041
035   $a(DE-He213)978-3-031-57092-6
035   $a(EXLCZ)9936479390400041
100   $a20241101d2024      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aTwo-dimensional Product-Cubic Systems, Vol. I $eConstant and Linear Vector Fields /$fby Albert C. J. Luo
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (257 pages)
311 08$a9783031570919 
311 08$a303157091X 
327   $aConstant and Product-Cubic Systems -- Self-linear and Product-cubic systems -- Crossing-linear and Product-cubic systems.
330   $aThis book, the fifth of 15 related monographs, presents systematically a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields. The product-cubic vector field is a product of linear and quadratic different univariate functions. The hyperbolic and hyperbolic-secant flows with directrix flows in the cubic product system with a constant vector field are discussed first, and the cubic product systems with self-linear and crossing-linear vector fields are discussed. The inflection-source (sink) infinite equilibriums are presented for the switching bifurcations of a connected hyperbolic flow and saddle with hyperbolic-secant flow and source (sink) for the connected the separated hyperbolic and hyperbolic-secant flows. The inflection-sink and source infinite-equilibriums with parabola-saddles are presented for the switching bifurcations of a separated hyperbolic flow and saddle with a hyperbolic-secant flow and center. Readers learn new concepts, theory, phenomena, and analysis techniques, such as Constant and product-cubic systems, Linear-univariate and product-cubic systems, Hyperbolic and hyperbolic-secant flows, Connected hyperbolic and hyperbolic-secant flows, Separated hyperbolic and hyperbolic-secant flows, Inflection-source (sink) Infinite-equilibriums and Infinite-equilibrium switching bifurcations. Develops a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields; Presents inflection-source (sink) infinite-equilibriums for the switching of a connected hyperbolic flow; Presents inflection-sink (source) infinite-equilibriums for the switching of a paralleled hyperbolic flow. .
606   $aPlasma waves
606   $aMultibody systems
606   $aVibration
606   $aMechanics, Applied
606   $aDynamics
606   $aNonlinear theories
606   $aMathematics$xData processing
606   $aWaves, instabilities and nonlinear plasma dynamics
606   $aMultibody Systems and Mechanical Vibrations
606   $aApplied Dynamical Systems
606   $aEngineering Mechanics
606   $aComputational Science and Engineering
615  0$aPlasma waves.
615  0$aMultibody systems.
615  0$aVibration.
615  0$aMechanics, Applied.
615  0$aDynamics.
615  0$aNonlinear theories.
615  0$aMathematics$xData processing.
615 14$aWaves, instabilities and nonlinear plasma dynamics.
615 24$aMultibody Systems and Mechanical Vibrations.
615 24$aApplied Dynamical Systems.
615 24$aEngineering Mechanics.
615 24$aComputational Science and Engineering.
676   $a530.44
700   $aLuo$b Albert C. J$0720985
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910903792103321
996   $aTwo-Dimensional Product-Cubic Systems, Vol. I$94272899
997   $aUNINA