Almost periodic solutions of nonlinear ODE systems with two small parameters

We deal with the problem of the existence and uniqueness of almost periodic solutions of a nonlinear ODE system with two small parameters. We prove the bifurcation theorem of almost periodic solutions for a nonlinear system of differential equations with two small positive parameters and an almost periodic right-hand side from the cycle of the generating system. The averaging principal in the problem of almost periodic solutions of a system of special type differential equations with two small parameters is proved.