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A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves

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  • Giné, Jaume
  • Llibre, Jaume

Abstract

The generalized Liénard polynomial differential systems are the differential systems of the form x′ = y, y′ = − f(x)y − g(x), where f and g are polynomials.

Suggested Citation

  • Giné, Jaume & Llibre, Jaume, 2022. "A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002855
    DOI: 10.1016/j.chaos.2022.112075
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    References listed on IDEAS

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    1. Jaume Giné & Jaume Llibre, 2022. "Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems," Mathematics, MDPI, vol. 10(2), pages 1-5, January.
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    1. Giné, Jaume & Llibre, Jaume, 2023. "The solution of the Poincaré problem on the rational first integral for the Liénard polynomial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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