Article
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Phase Portraits of the Families VII and VIII of the Quadratic Systems
Version 1
: Received: 3 July 2023 / Approved: 4 July 2023 / Online: 4 July 2023 (10:05:10 CEST)
A peer-reviewed article of this Preprint also exists.
Cairó, L.; Llibre, J. Phase Portraits of Families VII and VIII of the Quadratic Systems. Axioms 2023, 12, 756. Cairó, L.; Llibre, J. Phase Portraits of Families VII and VIII of the Quadratic Systems. Axioms 2023, 12, 756.
Abstract
The quadratic polynomial differential systems in the plane are the easiest nonlinear differential systems. They have been studied intensively due to their nonlinearity and to their big number of applications. These systems can be classified in ten classes. Here we provide all the topologically different phase portraits in the Poincaré disc of two of these classes.
Keywords
quadratic vector fields; quadratic systems; phase portraits
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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