Ebook: Structurally unstable quadratic vector fields of codimension one
Author: Artés Joan C., Llibre Jaume, Rezende Alex C
- Genre: Mathematics // Mathematicsematical Physics
- Tags: Mathematics., Dynamics., Ergodic theory., Differential equations., Mathematics -- Mathematical Analysis., Nonlinear science., Mathematics -- Differential Equations., Differential calculus & equations., Ordinary Differential Equations., Dynamical Systems and Ergodic Theory.
- Year: 2018
- Publisher: Springer International Publishing : Imprint: Birkhäuser
- Language: English
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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 Read more...
Abstract: 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