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001 9910897980203321
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010   $a3-031-48483-5
024 7 $a10.1007/978-3-031-48483-4
035   $a(CKB)36383232500041
035   $a(MiAaPQ)EBC31735074
035   $a(Au-PeEL)EBL31735074
035   $a(DE-He213)978-3-031-48483-4
035   $a(EXLCZ)9936383232500041
100   $a20241021d2024      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aTwo-dimensional Product Cubic Systems, Vol. VII $eSelf- Quadratic Vector Fields /$fby Albert C. J. Luo
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (240 pages)
300   $aIncludes index.
311 08$a3-031-48482-7 
327   $aChapter 1: Self-quadratic and product-cubic Systems -- Chapter 2: Saddle-node singularity and bifurcation dynamics -- Chapter 3: Double-saddles and switching bifurcations.
330   $aThis book, the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the appearing bifurcations of the saddle-source and saddle-sink, and also the appearing bifurcations of the network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations include: ? inflection-saddle infinite-equilibriums, ? hyperbolic-source (sink) infinite-equilibriums, ? up-down (down-up) saddle infinite-equilibriums, ? inflection-source (sink) infinite-equilibriums. Develops a theory of cubic dynamical systems possessing a product-cubic vector field and a self-quadratic vector field; Finds series/networks of equilibriums, 1-dimenional hyperbolic/hyperbolic-secant flows, finite-equilibrium switching; Presents sink and source separated by a connected hyperbolic-secant flow, and the (SO,SI) and (SI,SO)-saddles. .
606   $aMultibody systems
606   $aVibration
606   $aMechanics, Applied
606   $aDynamics
606   $aNonlinear theories
606   $aStochastic analysis
606   $aMultibody Systems and Mechanical Vibrations
606   $aApplied Dynamical Systems
606   $aEngineering Mechanics
606   $aStochastic Analysis
615  0$aMultibody systems.
615  0$aVibration.
615  0$aMechanics, Applied.
615  0$aDynamics.
615  0$aNonlinear theories.
615  0$aStochastic analysis.
615 14$aMultibody Systems and Mechanical Vibrations.
615 24$aApplied Dynamical Systems.
615 24$aEngineering Mechanics.
615 24$aStochastic Analysis.
676   $a512.82
700   $aLuo$b Albert C. J.$0720985
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910897980203321
996   $aTwo-Dimensional Product Cubic Systems, Vol. VII$94211508
997   $aUNINA