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On integrability conditions and limit cycle bifurcations for polynomial systems

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  • Ferčec, Brigita

Abstract

We present an approach to finding general conditions for integrability of a given family of two-dimensional polynomial systems using conditions computed when some parameters were fixed. We apply it to obtain integrability conditions for a Lotka–Volterra planar complex quartic system having homogeneous nonlinearities. We also study bifurcations of limit cycles from each component of the center variety of the corresponding quartic real system.

Suggested Citation

  • Ferčec, Brigita, 2015. "On integrability conditions and limit cycle bifurcations for polynomial systems," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 94-106.
    • Handle: RePEc:eee:apmaco:v:263:y:2015:i:c:p:94-106
    DOI: 10.1016/j.amc.2015.04.019
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