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010   $a3-319-92117-7
024 7 $a10.1007/978-3-319-92117-4
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035   $a(DE-He213)978-3-319-92117-4
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100   $a20180628d2018      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aStructurally Unstable Quadratic Vector Fields of Codimension One /$fby Joan C. Artés, Jaume Llibre, Alex C. Rezende
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018.
215   $a1 online resource (VI, 267 p. 362 illus., 1 illus. in color.) 
311   $a3-319-92116-9 
320   $aIncludes bibliographical references.
327   $aIntroduction -- Preliminary definitions -- Some preliminary tools -- A summary for the structurally stable quadratic vector fields -- Proof of Theorem 1.1(a) -- Proof of Theorem 1.1(b) -- Bibliography.
330   $aOriginating from research in the qualitative theory of ordinary differential equations, this book follows the authors? work on structurally stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the Poincaré disc, modulo limit cycles, of planar quadratic polynomial differential systems manifesting the simplest level of structural instability. They prove that there are at most 211 and at least 204 of them. .
606   $aDifferential equations
606   $aDynamics
606   $aErgodic theory
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
615  0$aDifferential equations.
615  0$aDynamics.
615  0$aErgodic theory.
615 14$aOrdinary Differential Equations.
615 24$aDynamical Systems and Ergodic Theory.
676   $a515.352
700   $aArtés$b Joan C$4aut$4http://id.loc.gov/vocabulary/relators/aut$0501630
702   $aLlibre$b Jaume$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aRezende$b Alex C$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300117303321
996   $aStructurally Unstable Quadratic Vector Fields of Codimension One$91963844
997   $aUNINA