Structurally Unstable Quadratic Vector Fields of Codimension One

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Structurally Unstable Quadratic Vector Fields of Codimension One by Joan C. Artés, Jaume Llibre, Alex C. Rezende, Springer International Publishing
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Author: Joan C. Artés, Jaume Llibre, Alex C. Rezende ISBN: 9783319921174
Publisher: Springer International Publishing Publication: June 28, 2018
Imprint: Birkhäuser Language: English
Author: Joan C. Artés, Jaume Llibre, Alex C. Rezende
ISBN: 9783319921174
Publisher: Springer International Publishing
Publication: June 28, 2018
Imprint: Birkhäuser
Language: English

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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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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