Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
REGULATION MECHANISMS OF LIVING SYSTEMS
Bahrom Hidirov
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2006 Volume 64 Issue 2 Pages 497-504

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Abstract
Using a regulatorika (functioning of regulatory mechanisms) methodology for dynamical systems, the equations for studying living systems based on the functional-differential, functional and discrete equations have been developed. From results of the qualitative analysis of model systems for equations follows, that the functional state can have a varied nature: stable state, stable limit cycle, deterministic chaos and break-down of solutions to the trivial attractor (“black hole” effect). It is shown that there are only seven stable systems, which are in the balance with an external medium. Control problems for regulatorika systems in areas of dynamical chaos and “black hole” effect are considered.
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© 2006 International Society for Mathematical Sciences
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