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Structurally Unstable Quadratic Vector Fields of Codimension One / / by Joan C. Artés, Jaume Llibre, Alex C. Rezende



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Autore: Artés Joan C Visualizza persona
Titolo: Structurally Unstable Quadratic Vector Fields of Codimension One / / by Joan C. Artés, Jaume Llibre, Alex C. Rezende Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018
Edizione: 1st ed. 2018.
Descrizione fisica: 1 online resource (VI, 267 p. 362 illus., 1 illus. in color.)
Disciplina: 515.352
Soggetto topico: Differential equations
Dynamics
Ergodic theory
Ordinary Differential Equations
Dynamical Systems and Ergodic Theory
Persona (resp. second.): LlibreJaume
RezendeAlex C
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: Introduction -- 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.
Sommario/riassunto: Originating 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. .
Titolo autorizzato: Structurally Unstable Quadratic Vector Fields of Codimension One  Visualizza cluster
ISBN: 3-319-92117-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910300117303321
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