On integrability conditions and limit cycle bifurcations for polynomial systems

Brigita Ferčec

Applied Mathematics and Computation, 2015, vol. 263, issue C, 94-106

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.

Keywords: Integrability; Center variety; Limit cycle; Cyclicity (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:263:y:2015:i:c:p:94-106

DOI: 10.1016/j.amc.2015.04.019

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