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| OATH | JOURNAL | |
| MANIFESTO | BULLETIN |
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"...Try to understand the skin "speech" and it'll inform you about any dysfunction of human body systems far better than the majority of researches with modern apparatuses... ... To forget the fact that "peripheral brain" i.e. skin and neural system of a human body are of a common ectodermal origin means to forget about disease diagnostics at all..." S. Yaroshuk "E pluribus unum" |
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The most widespread method of registering the autowave dynamics in excitable media of human organism is the registeriation of the "higher" level dynamics. These methods are capable of "showing" a qualitative picture of autowave processes of the human organism taken as whole. Pathological autowave processes of human body systems can be observed visually upon human skin. (SEE PHOTO). The analysis of the dynamics of the filament (thread) of the piliar reverberator is the analysis of a human autowave pathology. The aim of this atlas is: Theory of bifurcations of dynamic systems on plain surface, created by A.A. Andronov (in co-operation with his students) is natural and effective in its ideological side. It is of high importance in medical science and doctoral practice. While the qualitative theory gains far newer spheres in natural science, the practical usage of the theory of dynamic systems on human body ectodermal plain surface is not well enough known by mathematicians and biophysicists that research the applied questions in medical science. This atlas of dissipative structures is referential and informational: all used photo-facts, illustrated with pictures, are given without mathematical proofs. The researches can find all basic mathematical proofs in literary sources. It is necessary to say that in dynamic systems in the space with three or more dimensions (or even in the space with two dimensions, different from sphere) the theory of bifurcations in dynamic systems becomes far more complicated. Even the content of dissipative strucutre in open systems of human body becomes considerably more complicated. Yet in this case the theory of bifurcations in dynamic systems on neuroand for segmental -ectodermal plain surface is still a fundamental basis, classes of multidimensional human neurotheory of -systems the theory of bifurcations is in many cases similar to the bifurcations on plain surfacebe the . A wonderful success in studying the turbulent modes of dissipative systems appears to knowledge of the fact that despite an exstraordinary diversity of nonlinear physical and biological systemstransition to a , the turbulent dynamics at the change of parameters is carried out by only a few waystransition frequently . Here in, the ways of appear to be common not only for the systems of different nature and different complexity but also for condensed and distributed fieldupon the human -systems. A similar situation can be visually observed skin in the shape of piliar autowaves appearance of a - there exists a quite limited number of the main bifurcations causing the bounded cycle (only this type of bifurcation is shown in the Atlas of dissipative structures). This is, specifically, the birth of a cycle from the equilibrium state - Andronov - Hopf bifurcationof , which corresponds to a soft appearance of autowaves (it is shown in the first section in the Atlas); the birth cycle from the separatrice loop saddle (it is shown in the second section in the Atlas); a rigid mode of the appearance of piliar bounded cycle - as well as the thickening of piliar phase neuro-ectodermal trajectories within the phase space of the human skin (it is shown in the third section in the Atlas). |
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| Bifurcations diagram, parametric and phase portraits |
Piliar dissipative structure on human skin
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Dynamic of dissipative structure on "imaginative" cluster
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