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Record Nr. |
UNINA9910300117303321 |
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Autore |
Artés Joan C |
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Titolo |
Structurally Unstable Quadratic Vector Fields of Codimension One / / by Joan C. Artés, Jaume Llibre, Alex C. Rezende |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
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ISBN |
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Edizione |
[1st ed. 2018.] |
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Descrizione fisica |
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1 online resource (VI, 267 p. 362 illus., 1 illus. in color.) |
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Disciplina |
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Soggetti |
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Differential equations |
Dynamics |
Ergodic theory |
Ordinary Differential Equations |
Dynamical Systems and Ergodic Theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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. . |
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