Structurally Unstable Quadratic Vector Fields of Codimension One - Softcover

Artés, Joan C.; Llibre, Jaume; Rezende, Alex C.

Softcover

ISBN 10: 3319921169 ISBN 13: 9783319921167

Verlag: Birkhäuser, 2018

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Joan C. Artés is Associate Professor at the Departament de Matemàtiques, Universitat Autònoma de Barcelona in Barcelona, Spain. Jaume Llibre is Full Professor at the Departament de Matemàtiques, Universitat Autònoma de Barcelona in Barcelona, Spain. Dana Schlomiuk is Honorary Professor, former Full Professor at the Département de Mathématiques et de Statistiques, Université de Montréal in Montreal, Canada. Nicolae Vulpe is Professor, Principal Researcher at the Vladimir Andrunachievici Institute of Mathematics and Computer Science in Chisinau, Moldova.

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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. 

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2018
• Sprache: Englisch
• ISBN 10: 3319921169
• ISBN 13: 9783319921167
• Einband: Taschenbuch
• Auflage: 1
• Anzahl der Seiten: 273
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland