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Integrability and non-linearizability of weak saddles in a cubic Kolmogorov model

Author

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  • Wu, Yusen
  • Zhang, Cui

Abstract

This paper is devoted to the integrability and non-linearizability for a cubic Kolmogorov system with three positive equilibria. The necessary and sufficient conditions for each positive equilibrium to be an integrable saddle are given. Furthermore, by careful computation of period constants, we can see that period constant of certain order does not vanish. Therefore, we arrive to the conclusion that the system is not linearizable at the three positive equilibria.

Suggested Citation

  • Wu, Yusen & Zhang, Cui, 2021. "Integrability and non-linearizability of weak saddles in a cubic Kolmogorov model," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921008687
    DOI: 10.1016/j.chaos.2021.111514
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