In this paper we investigate the linearizability problem for the planar Lotka-Volterra complex quartic systems which are 1 ∶-5 linear systems perturbed by homogeneous polynomials of degree 4,that is to say,we consider systems of the form x =x(1-a30x3-a21x2y-a12.xy2-a03y3),y =-y(5-b30x3-b21x2y-b12xy2-b03y3).The necessary and sufficient conditions for the linearizability of this system are found.%本文考虑了如下的一类平面四次复Lotka-Volterra系统的可线性化问题x=x(1-a30x3-a21x2y-a12xy2-a03y3),y=-y(5-b30x3-b21x2y-b12xy2-b03y3).该系统为四次齐次多项式扰动下的具有1∶-5线性项的复Lotka-Volterra系统,给出了该系统可线性化的充分必要条件.
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