LEADER 02884nam  22006255  450 
001 9911018650903321
005 20250806172318.0
010   $a9789819655151$b(electronic bk.)
010   $z9789819655144
024 7 $a10.1007/978-981-96-5515-1
035   $a(MiAaPQ)EBC32253834
035   $a(Au-PeEL)EBL32253834
035   $a(CKB)40093120100041
035   $a(OCoLC)1530783732
035   $a(DE-He213)978-981-96-5515-1
035   $a(EXLCZ)9940093120100041
100   $a20250806d2025      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aTwo-Dimensional Constant and Product Polynomial Systems /$fby Albert C. J. Luo
205   $a1st ed. 2025.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025.
215   $a1 online resource (144 pages)
311 08$aPrint version: Luo, Albert C. J. Two-Dimensional Constant and Product Polynomial Systems Singapore : Springer,c2025 9789819655144 
327   $aConstant and Product Polynomial Systems -- Proof of Theorem 1.1 -- Singular flows bifurcaions and networks.
330   $aThis book is a monograph about 1-dimensional flow arrays and bifurcations in constant and product polynomial systems. The 1-dimensional flows and the corresponding bifurcation dynamics are discussed. The singular hyperbolic and hyperbolic-secant flows are presented, and the singular hyperbolic-to-hyperbolic-secant flows are discussed. The singular inflection source, sink and upper, and lower-saddle flows are presented. The corresponding appearing and switching bifurcations are presented for the hyperbolic and hyperbolic-secant networks, and singular flows networks. The corresponding theorem is presented, and the proof of theorem is given. Based on the singular flows, the corresponding hyperbolic and hyperbolic-secant flows are illustrated for a better understanding of the dynamics of constant and product polynomial systems.
606   $aSystem theory
606   $aAlgebraic fields
606   $aPolynomials
606   $aDynamics
606   $aDifferential equations
606   $aComplex Systems
606   $aField Theory and Polynomials
606   $aDynamical Systems
606   $aDifferential Equations
615  0$aSystem theory.
615  0$aAlgebraic fields.
615  0$aPolynomials.
615  0$aDynamics.
615  0$aDifferential equations.
615 14$aComplex Systems.
615 24$aField Theory and Polynomials.
615 24$aDynamical Systems.
615 24$aDifferential Equations.
676   $a003
700   $aLuo$b Albert C. J$0720985
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9911018650903321
996   $aTwo-Dimensional Constant and Product Polynomial Systems$94415134
997   $aUNINA