Linearizability conditions for Lotka—Volterra planar complex cubic systems

摘要

In this paper, we investigate the linearizability problem for the two-dimensional planar complex system χ = χ(1 - al0χ - aol y - a20χ~2 - al Iχy - a02y~2), y = —t'(1 - bloχ - boly - b2oχ~2 - b1lχy - b02y~2). The necessary and sufficient conditions for the linearizability of this system are found. From them the conditions for isochronicity of the corresponding real system can be derived.