MARC Record from harvard_bibliographic_metadata

LEADER: 03137nam a22005295a 4500
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005 20131206200621.0
008 130125s1993 ne | s ||0| 0|eng d
020 $a9789401582384
020 $a9789401582384
020 $a9789048143030
024 7 $a10.1007/978-94-015-8238-4$2doi
035 $a(Springer)9789401582384
040 $aSpringer
050 4 $aQA372
072 7 $aPBKJ$2bicssc
072 7 $aMAT007000$2bisacsh
082 04 $a515.352$223
100 1 $aSchlomiuk, Dana,$eeditor.
245 10 $aBifurcations and Periodic Orbits of Vector Fields /$cedited by Dana Schlomiuk.
246 3 $aProceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, Montreal, Canada, July 13-24, 1992
264 1 $aDordrecht :$bSpringer Netherlands :$bImprint: Springer,$c1993.
300 $aXVII, 472 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aNATO ASI Series, Series C: Mathematical and Physical Sciences,$x1389-2185 ;$v408
520 $aThe main topic of this book is the theory of bifurcations of vector fields, i.e. the study of families of vector fields depending on one or several parameters and the changes (bifurcations) in the topological character of the objects studied as parameters vary. In particular, one of the phenomena studied is the bifurcation of periodic orbits from a singular point or a polycycle. The following topics are discussed in the book: Divergent series and resummation techniques with applications, in particular to the proofs of the finiteness conjecture of Dulac saying that polynomial vector fields on R2 cannot possess an infinity of limit cycles. The proofs work in the more general context of real analytic vector fields on the plane. Techniques in the study of unfoldings of singularities of vector fields (blowing up, normal forms, desingularization of vector fields). Local dynamics and nonlocal bifurcations. Knots and orbit genealogies in three-dimensional flows. Bifurcations and applications: computational studies of vector fields. Holomorphic differential equations in dimension two. Studies of real and complex polynomial systems and of the complex foliations arising from polynomial differential equations. Applications of computer algebra to dynamical systems.
650 20 $aGeometry.
650 20 $aFunctions of complex variables.
650 10 $aMathematics.
650 0 $aSequences (Mathematics)
650 0 $aMathematics.
650 0 $aElectronic data processing.
650 0 $aFunctions of complex variables.
650 0 $aGlobal analysis.
650 0 $aDifferential Equations.
650 0 $aGeometry.
650 24 $aOrdinary Differential Equations.
650 24 $aGlobal Analysis and Analysis on Manifolds.
650 24 $aSequences, Series, Summability.
650 24 $aNumeric Computing.
776 08 $iPrinted edition:$z9789048143030
830 0 $aNATO ASI Series, Series C: Mathematical and Physical Sciences ;$v408.
988 $a20131114
906 $0VEN