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010   $a3-031-59574-2
024 7 $a10.1007/978-3-031-59574-5
035   $a(CKB)36383778900041
035   $a(DE-He213)978-3-031-59574-5
035   $a(EXLCZ)9936383778900041
100   $a20241018d2024      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aTwo-dimensional Self and Product Cubic Systems, Vol. II $eCrossing-linear and Self-quadratic Product Vector Field /$fby Albert C. J. Luo
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (X, 238 p. 46 illus., 45 illus. in color.) 
311   $a3-031-59573-4 
327   $aSelf and Product Cubic Systems -- Double-saddles, Third-order Saddle nodes -- Vertical Saddle-node Series and Switching Dynamics -- Saddle-nodes and third-order Saddles Source and Sink -- Simple equilibrium networks and switching dynamics.
330   $aThis book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink) Develops a theory of self and product cubic systems with a crossing-linear and self-quadratic products vector field; Presents equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows with switching by up-down saddles; Shows equilibrium appearing bifurcations of various saddles, sinks, and flows.
606   $aDynamics
606   $aNonlinear theories
606   $aEngineering mathematics
606   $aEngineering$xData processing
606   $aMultibody systems
606   $aVibration
606   $aMechanics, Applied
606   $aUniversal algebra
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$aMechanics, Applied.
615  0$aUniversal algebra.
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   $a515.39
700   $aLuo$b Albert C. J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720985
906   $aBOOK
912   $a9910897991203321
996   $aTwo-dimensional Self and Product Cubic Systems, Vol. II$94214408
997   $aUNINA