Abstract
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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
