The e-book includes Volumes. the 1st (the previous quantity) is dedicated to the final nonlinear conception of the hierarchical dynamic oscillative–wave platforms. This thought has been known as the speculation of hello- archical oscillations and waves. the following facets of the proposed concept are mentioned. the 1st elements predicament the basic nature and the fundamental c- cepts and concepts of a brand new hierarchical method of learning hierarchical dynamic structures. a brand new hierarchical paradigm is proposed as a - sis of a brand new perspective of such varieties of platforms. In flip, a collection of hierarchical rules is formulated because the primary foundation of this paradigm. Therein the self-resemblance (holographic) precept performs a key position right here. An sufficient mathematic description (factorization) of the proposed paradigm is conducted. The thoughts of structural and dynamic (functional) operators are placed into the foundation of this descr- tion. Electrodynamics is selected as a handy foundation for an noticeable demonstration of a few key issues of the proposed new thought. the second one point has a in basic terms mathematical nature. it's regarding the shape of factorization (i.e., mathematical description) of hier- chical varieties of dynamic types, and dialogue of the tools in their mathematical research. a collection of the hierarchical asymptotic analytical– numerical equipment is given as a proof of the sensible effectiveness of the proposed model of hierarchical concept.
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