Information Technology Reference
In-Depth Information
Fig. 4.13 Processing of
information by the
Grossberg neural network:
(a) initial signal, (b) the
function f ( s ), and (c) result
of the transformation
4.7
“Emerging” Information Mechanisms
The possibility of information processing by reaction-diffusion media can be
understood on the basis of the concept of “emerging” information mechanisms,
which is being actively developed in recent years. A reaction-diffusion medium
may be considered a multilevel system.
The initial level of consideration is the kinetics of chemical reactions between
the components of the medium. The change in concentration of the medium
components over time is determined mainly by their initial values, medium's
temperature, and the rate constants of the reactions occurring in the medium. This
represents so to say the lower level of the dynamics of the medium. At the same
time, considering the medium as a whole and solving reaction-diffusion equations,
one can proceed to the next level of the dynamics of the reaction-diffusion
medium—the ensemble of its steady-state regimes. Characteristic for systems
with complete intermixing are the bistable regime (the system can move from
one stationary state to another), the sleep regime (stable stationary state), and the
regime of concentration fluctuations. If diffusion of components can exist in the
medium, then these regimes will also include trigger switching from one stable state
to another, moving concentration pulses, spiral structures, leading centers, and
many other dynamic states. All of these regimes form a basis for the next level of
dynamics—the interaction of stationary structures. The principles of this interaction
are specific and not similar to the principles of seemingly analogous physical
objects. Thus, concentration waves, unlike physical wave processes, while bending
around obstacles, do not reflect from them, but rather annihilate. Annihilation also
occurs during mutual collision of concentration waves. This dynamic occurs on the
basis of preceding dynamic levels and, at the same time, cannot be reduced to them.
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