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The isochronous center for Kukles homogeneous systems of degree eight
Applied Mathematics Letters, 2023Consider the planar polynomial system \[ \begin{array}{l} \frac{{dx}}{{dt}}= -y, \\ \frac{{dy}}{{dt}} = x+b_1xy^7+b_2x^3y^5+b_3x^5y^3+b_4x^7y \end{array}\tag{1} \] having the origin as unique equilibrium and whose phase portrait is symmetric with respect to the \(y\)-axis.
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