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Hierarchical Methods

Undulative Electrodynamical Systems, Volume 2

V Kulish
Livre relié | Anglais | Fundamental Theories of Physics | n° 128
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Description

The book consists of two Volumes. The first (the preceding volume) is devoted to the general nonlinear theory of the hierarchical dynamic oscillative-wave systems. This theory has been called the theory of hi- archical oscillations and waves. Here two aspects of the proposed theory are discussed. The first aspects concern the fundamental nature and the basic c- cepts and ideas of a new hierarchical approach to studying hierarchical dynamic systems. A new hierarchical paradigm is proposed as a - sis of a new point of view of such types of systems. In turn, a set of hierarchical principles is formulated as the fundamental basis of this paradigm. Therein the self-resemblance (holographic) principle plays a key role here. An adequate mathematic description (factorization) of the proposed paradigm is carried out. The concepts of structural and dynamic (functional) operators are put into the basis of this descr- tion. Electrodynamics is chosen as a convenient basis for an obvious demonstration of some key points of the proposed new theory. The second aspect has a purely mathematical nature. It is related to the form of factorization (i.e., mathematical description) of hier- chical types of dynamic models, and discussion of the methods of their mathematical analysis. A set of the hierarchical asymptotic analytical- numerical methods is given as an evidence of the practical effectiveness of the proposed version of hierarchical theory.

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Editeur:

Contenu

Nombre de pages :
382
Langue:
Anglais
Collection :
Tome:
n° 128

Caractéristiques

EAN:
9781402009686
Date de parution :
31-10-02
Format:
Livre relié
Format numérique:
Genaaid
Dimensions :
161 mm x 250 mm
Poids :
839 g

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