Category-functor modelling of natural systemsстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:An approach to the derivation of dynamic equations for natural systems modelled by mathematical structures is suggested. The approach rests on an extremum principle which postulates that among all possible states of a system those are actually realized that correspond to an extremal in a rigorous mathematical sense structure. The suggested method of ordering the structured sets with the aid of category and functor theory generalizes the cardinality ordering of structureless sets. The method makes it possible to determine the functionals for the variational problem which describes a system under study. The approach is illustrated by a model of an ecological community.