73 citations · 353 across the 19 of their papers we have counts for
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math.DS2018★ 20 cited
The method of Puiseux series and invariant algebraic curves
Maria V. Demina
An explicit expression for the cofactor related to an irreducible invariant algebraic curve of a polynomial dynamical system in the plane is derived. A sufficient condition for a p…
nlin.SI2018★ 30 cited
Invariant algebraic curves for Liénard dynamical systems revisited
Maria Demina
A novel algebraic method for finding invariant algebraic curves for a polynomial vector field in is introduced. The structure of irreducible invariant algebraic curv…
nlin.SI2018
From Puiseux series to invariant algebraic curves: the FitzHugh-Nagumo model
Maria V. Demina
A relationship between Puiseux series satisfying an ordinary differential equation corresponding to a polynomial dynamical system and degrees of irreducible invariant algebraic cur…