Hierarchic theory of oscillations and waves and its application to nonlinear problems of relativistic electrodynamics

A new concept of hierarchic systems' theory is presented. The most significant novelties here are following: the specific method for dynamic hierarchic system description is proposed and elaborated; the main methodical base of the latter are served the five fundamental principles. These principles are formulated as a generalization of known experimental facts and relevant theoretical analysis. Besides that, the hierarchic asymptotic numerical-analytical method is described. The main idea here consist of the use of the corresponding scale hierarchic parameters as the relevant expansion parameters.