LEADER 04105nam  22006975  450 
001 9910908362503321
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010   $a9783031571084
024 7 $a10.1007/978-3-031-57108-4
035   $a(CKB)36619192400041
035   $a(MiAaPQ)EBC31787933
035   $a(Au-PeEL)EBL31787933
035   $a(OCoLC)1472980314
035   $a(DE-He213)978-3-031-57108-4
035   $a(EXLCZ)9936619192400041
100   $a20241120d2024      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aTwo-dimensional Single-Variable Cubic Nonlinear Systems, Vol II $eA Crossing-variable Cubic Vector Field /$fby Albert C. J. Luo
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (246 pages)
225 0 $aEngineering Series
311 08$a9783031571077 
327   $aConstant and Self-Cubic Vector fields -- Self-linear and Self-cubic vector fields -- Self-quadratic and self-cubic vector fields  -- Two self-cubic vector fields.
330   $aThis book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of crossing-variables, which are discussed as the second part. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-diemnsional cubic systems are for the first time to be presented. Third-order parabola flows are presented, and the upper and lower saddle flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order parabola flows, and inflection flows with the first source and sink flows, and the upper and lower-saddle flows. The appearing bifurcations in such cubic systems includes inflection flows and third-order parabola flows, upper and lower-saddle flows. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations Presents saddle flows plus third-order parabola flows and inflection flows as appearing flow bifurcations; Presents saddle flows plus third-order parabola flows and inflection flows as appearing flow bifurcations; Explains infinite-equilibriums for the switching of the first-order sink and source flows. .
606   $aDynamics
606   $aNonlinear theories
606   $aEngineering mathematics
606   $aEngineering$xData processing
606   $aFunctions of complex variables
606   $aDynamics
606   $aPlasma waves
606   $aApplied Dynamical Systems
606   $aMathematical and Computational Engineering Applications
606   $aSeveral Complex Variables and Analytic Spaces
606   $aDynamical 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$aFunctions of complex variables.
615  0$aDynamics.
615  0$aPlasma waves.
615 14$aApplied Dynamical Systems.
615 24$aMathematical and Computational Engineering Applications.
615 24$aSeveral Complex Variables and Analytic Spaces.
615 24$aDynamical Systems.
615 24$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   $a9910908362503321
996   $aTwo-Dimensional Single-Variable Cubic Nonlinear Systems, Vol II$94290970
997   $aUNINA