Structurally Unstable Quadratic Vector Fields of Codimension One

by Joan C. Artes, Jaume Llibre, and Alex C. Rezende

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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 Poincare 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.

  • ISBN13 9783319921167
  • Publish Date 6 July 2018
  • Publish Status Active
  • Publish Country CH
  • Imprint Birkhauser Verlag AG
  • Edition 1st ed. 2018
  • Format Paperback
  • Pages 267
  • Language English