Global phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 6
Abstract
The main goal of this paper is to classify the global phase portraits of
six quadratic polynomial differential systems, exhibiting as unvariant
algebraic curves seven well-known algebraic curves of degree six.
We prove that these systems have six topologically different phase portraits
in the Poincar\'e disc.
six quadratic polynomial differential systems, exhibiting as unvariant
algebraic curves seven well-known algebraic curves of degree six.
We prove that these systems have six topologically different phase portraits
in the Poincar\'e disc.
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Subscribers OnlyDOI: https://doi.org/10.2478/tmmp-2022-0010