Abstract
We consider the complex differential system
where f is the analytic function \(f(z)\, = \,\sum\nolimits_{j = 1}^\infty {{a_j}{z^j}} \) with aj ∈ ℂ. This system has a weak saddle at the origin and is a generalization of complex Liénard systems. In this work we study its local analytic integrability.
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Giné, J., Valls, C. Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems. J Nonlinear Math Phys 27, 664–678 (2020). https://doi.org/10.1080/14029251.2020.1819612
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DOI: https://doi.org/10.1080/14029251.2020.1819612