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Structurally Unstable Quadratic Vector Fields of Codimension One

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Structurally Unstable Quadratic Vector Fields of Codimension One - Artés, Joan C., and Llibre, Jaume, and Rezende, Alex C.
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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 Poincar??? 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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Structurally Unstable Quadratic Vector Fields of Codimension One 2018, Birkhauser Verlag AG, Basel

ISBN-13: 9783319921167

Paperback