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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Table des matières
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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Langue Anglais ● Format PDF ● Pages 267 ● ISBN 9783319921174 ● Taille du fichier 13.5 MB ● Maison d’édition Springer International Publishing ● Lieu Cham ● Pays CH ● Publié 2018 ● Téléchargeable 24 mois ● Devise EUR ● ID 6467272 ● Protection contre la copie DRM sociale
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