Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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