In the paper, the possible application of the generalized Rayleigh equation for description of intramolecular periodic transformations, including valence tautomerism occurring in molecular multi-electron systems is discussed. This possibility is based on the fact that such a transformation is associated with a self-oscillating process, the parameters of which are selected using Prigogine - Lefever model. Such a self-oscillatory process is nothing but the periodic overcoming of the energy barrier separating the states between which the transitions take place. These states can be realized for molecular systems, the behavior of which at the level of the macroworld is connected with the manifestation of nonlinearity of intramolecular processes. Owing to such features of the structure and dynamics of a molecular, nonlinearities become possible that ensures periodicity in the change of a parameter characterizing behavior of the system. A qualitative analysis of the coefficient before the second term of the generalized Rayleigh equation shows that the oscillations can be stable in time with quite real energy barriers inherent in intramolecular motions. It is shown that coordination compounds containing atoms with unfilled 3d-, 4f- and 5f- shells can be used for this purpose.

在本文中，讨论了广义Rayleigh方程在描述分子内周期性转变（包括在分子多电子系统中发生的价互变异构）的可能应用。这种可能性基于以下事实：这种转换与自激振荡过程相关联，该过程使用Prigogine-Lefever模型选择其参数。这样的自激振荡过程不过是周期性地克服了将跃迁发生在其间的状态分开的能垒。对于分子系统，可以实现这些状态，而分子系统的行为在宏观世界的水平上与分子内过程的非线性表现有关。由于分子的这种结构和动力学特性，非线性成为可能，从而确保了表征系统行为的参数变化的周期性。对广义瑞利方程第二项之前的系数的定性分析表明，在分子内运动固有的相当真实的能垒的情况下，振荡可以在时间上保持稳定。结果表明，含有未填充3d-，4f-和5f-壳的原子的配位化合物可用于此目的。