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Integrability conditions of a resonant saddle in Liénard-like complex systems

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  • Giné, Jaume
  • Valls, Claudia

Abstract

We consider a complex differential system with a resonant saddle that remind the classical Liénard systems in the real plane. For such systems we determine the conditions of analytic integrability of the resonant saddle.

Suggested Citation

  • Giné, Jaume & Valls, Claudia, 2016. "Integrability conditions of a resonant saddle in Liénard-like complex systems," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 139-141.
    • Handle: RePEc:eee:chsofr:v:82:y:2016:i:c:p:139-141
    DOI: 10.1016/j.chaos.2015.11.026
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    References listed on IDEAS

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    1. Antonio Algaba & Cristóbal García & Jaume Giné, 2013. "On the Formal Integrability Problem for Planar Differential Systems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, March.
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    Cited by:

    1. Christopher, Colin & Giné, Jaume, 2021. "Analytic integrability of certain resonant saddle," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Wu, Yusen & Yan, Jinling & Zhang, Cui & Li, Feng, 2022. "Simultaneous integrability and non-linearizability at arbitrary double weak saddles and sole weak focus of a cubic Liénard system," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    3. Giné, Jaume & Llibre, Jaume, 2017. "Integrability conditions of a resonant saddle in generalized Liénard-like complex polynomial differential systems," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 130-131.

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