This article describes a method for constructing approximations to periodic solutions of dynamic Lorenz system with classical values of the system parameters. The author obtained a system of nonlinear algebraic equations in general form concerning of the cyclic frequency, constant terms and amplitudes of harmonics that make up harmonic approximations to the desired solutions. The initial approximation for the Newton method is selected, which converges to a solution describing a periodic solution different from the equilibrium position. The results of a computational experiment are presented. The results are verified using high-precision calculations.
翻译：本文章描述一种方法,用于构建动态Lorenz系统周期解决方案的近似值和系统参数的古典值。作者获得了一个非线性代数方程式系统,其一般形式为循环频率、恒定值和口音振幅,构成与理想解决方案的调和近似值。选择了牛顿方法的初始近近似值,该方法与描述与均衡位置不同的周期解决方案的解决方案相交汇。介绍了计算实验的结果。结果通过高精度计算得到验证。
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