350 rub
Journal Biomedical Radioelectronics №4 for 2008 г.
Article in number:
Fractal-Category Model of Dynamic Function System Scheme in the Space of System Functions SF
Authors:
Mukha Y.P.
Abstract:
Ideology of measurement system syntheses in neural network base, based on using the system functions, receiving the homotopic transition from the space of announcing a physiological system in the space of its observing, as well as on фракталах, which are used at the building of structure to system functions. Stages to realization of this ideology contain a partitioning a phase space of observed object (function physiological system - FPS) by means of topological layers and hutches. At procedure exfoliation stasis and substasis areas of physiological object allows to present standard all dynamic system elements and install hierarchical relationships FPS on the formal level in the manner of algebra homotopic hutches that allows to form a function SF. Besides, are created topological forms of the dynamic functional object scheme. Important stage to realization an ideology is a development of method fractal - category syntheses of dynamic scheme FPS in the space of system functions SF. It is based on the special toolbox, which presents itself a family fractal-category images (FCI). FC - an image retract, FC - an image of joining centre, FC - an image of phase path. Then FC - an image of dynamic system borders be a family FC - images of phase paths with the instruction of conditions of existence of path intervals. On the grounds of tasks "obtruded structures" with provision for models stasis FPS and in accordance with the hierarchy physiological stasis is system parameter formed up by FC - an image of. This allows to form an equation of transformation of physiological dimensionality, but consequently synthesize FC - a model of hierarchical intercoupling physiological main physiological system stasis and attracted physiological systems)