LEADER 03787nam  22005415  450 
001 9910485593103321
005 20251113205252.0
010   $a3-030-50570-7
024 7 $a10.1007/978-3-030-50570-7
035   $a(CKB)5590000000487559
035   $a(MiAaPQ)EBC6648188
035   $a(Au-PeEL)EBL6648188
035   $a(PPN)25806515X
035   $a(DE-He213)978-3-030-50570-7
035   $a(EXLCZ)995590000000487559
100   $a20210617d2021      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGeometric Configurations of Singularities of Planar Polynomial Differential Systems $eA Global Classification in the Quadratic Case /$fby Joan C. Artés, Jaume Llibre, Dana Schlomiuk, Nicolae Vulpe
205   $a1st ed. 2021.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2021.
215   $a1 online resource (xii, 699 pages)
311 1 $a3-030-50569-3 
320   $aIncludes bibliographical references and index.
327   $aPart I -- Polynomial differential systems with emphasis on the quadratic ones -- 1 Introduction -- 2 Survey of results on quadratic differential systems -- 3 Singularities of polynomial differential systems -- 4 Invariants in mathematical classification problems -- 5 Invariant theory of planar polynomial vector fields -- 6 Main results on classifications of singularities in QS -- 7 Classifications of quadratic systems with special singularities -- Part II -- 8 QS with finite singularities of total multiplicity at most one -- 9 QS with finite singularities of total multiplicity two -- 10 QS with finite singularities of total multiplicity three -- 11 QS with finite singularities of total multiplicity four -- 12 Degenerate quadratic systems -- 13 Conclusions.
330   $aThis book addresses the global study of finite and infinite singularities of planar polynomial differential systems, with special emphasis on quadratic systems. While results covering the degenerate cases of singularities of quadratic systems have been published elsewhere, the proofs for the remaining harder cases were lengthier. This book covers all cases, with half of the content focusing on the last non-degenerate ones. The book contains the complete bifurcation diagram, in the 12-parameter space, of global geometrical configurations of singularities of quadratic systems. The authors? results provide - for the first time - global information on all singularities of quadratic systems in invariant form and their bifurcations. In addition, a link to a very helpful software package is included. With the help of this software, the study of the algebraic bifurcations becomes much more efficient and less time-consuming. Given its scope, the book will appeal tospecialists on polynomial differential systems, pure and applied mathematicians who need to study bifurcation diagrams of families of such systems, Ph.D. students, and postdoctoral fellows.
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aDifferential equations
606   $aGlobal Analysis and Analysis on Manifolds
606   $aDifferential Equations
615  0$aGlobal analysis (Mathematics).
615  0$aManifolds (Mathematics).
615  0$aDifferential equations.
615 14$aGlobal Analysis and Analysis on Manifolds.
615 24$aDifferential Equations.
676   $a514.746
700   $aArte?s$b Joan C.$f1961-$0501630
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910485593103321
996   $aGeometric configurations of singularities of planar polynomial differential systems$92860565
997   $aUNINA