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The existence of stationary points for the dynamical system of ABC-flow isconsidered. The ABC-flow, a three-parameter velocity field that provides asimple stationary solution of Euler's equations in three dimensions forincompressible, inviscid fluid flows, is the prototype for the study ofturbulence (it provides a simple example of dynamical chaos). But,nevertheless, between the chaotic trajectories of the appropriate solutions ofsuch a system we can reveal the stationary points, the deterministic basisamong the chaotic behaviour of ABC-flow dynamical system. It has been provedthe existence of 1 point for two partial cases of parameters {A, B, C}: 1) A =B = 1; 2) C = 1 (A^2 + B^2 = 1). Moreover, dynamical system of ABC-flow allows3 points of such a type, depending on the meanings of parameters {A, B, C}.

About existence of stationary points for the Arnold-Beltrami-Childress (ABC) flow