Geodesic
Modeling Theory and Hypergraph of Classes
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 281-287.

Voir la notice de l'article provenant de la source Math-Net.Ru

A new theory of modeling is presented that is suitable for the evolutionary design of models of complex, open, dynamical, network, and hierarchical systems. The theory is based on the concept of a class hypergraph as a unified model, which was earlier proposed by one of the authors and effectively used in the development of Etalon-CASE-technologies and business solutions. Classes and objects are represented by finite state machines. The theory improves upon the modeling concepts developed in the general systems theory, automata theory, object-oriented design, and the development of the universal modeling language (UML). 
@article{TM_2004_245_a28,
     author = {I. V. Volovich and M. N. Khokhlova},
     title = {Modeling {Theory} and {Hypergraph} of {Classes}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {281--287},
     publisher = {mathdoc},
     volume = {245},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2004_245_a28/}
}
TY  - JOUR
AU  - I. V. Volovich
AU  - M. N. Khokhlova
TI  - Modeling Theory and Hypergraph of Classes
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2004
SP  - 281
EP  - 287
VL  - 245
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2004_245_a28/
LA  - ru
ID  - TM_2004_245_a28
ER  - 
%0 Journal Article
%A I. V. Volovich
%A M. N. Khokhlova
%T Modeling Theory and Hypergraph of Classes
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2004
%P 281-287
%V 245
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2004_245_a28/
%G ru
%F TM_2004_245_a28
I. V. Volovich; M. N. Khokhlova. Modeling Theory and Hypergraph of Classes. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 281-287. http://geodesic.mathdoc.fr/item/TM_2004_245_a28/

[1] Eliens A., Printsipy ob'ektno-orientirovannoi razrabotki programm, Izd. dom “Vilyams”, M., 2002

[2] Gamma E., Khelm R., Dzhonson R., Vlissides Dzh., Priemy ob'ektno-orientirovannogo proektirovaniya. Patterny proektirovaniya, Piter, Sankt-Peterburg, 2001

[3] Rambo Dzh., Yakobson A., Buch G., UML: Spets. sprav., Piter, Sankt-Peterburg, 2002

[4] Unified Modeling Language, http://www.uml.org

[5] Simons A. J. H., Graham I., “37 things that don't work in object-oriented modelling with UML”, Proc. 2nd ECOOP Workshop on Precise Behavioural Semantics (Brussels, Belgium, 1998), eds. H. Kilov, B. Rumpe, Tech. Univ. München, München, 1998, 209–232, Pub. TUM-I9813 | Zbl

[6] Khokhlova M. N., Svidetelstvo ob ofitsialnoi registratsii finansovo-ekonomicheskogo kompleksa “Etalon”, RosAPO, No 950380, 1995

[7] Etalon: Informatsionnaya sistema upravleniya resursami predpriyatiya. Rukovodstvo sistemnogo analitika, Kompaniya “Tsefei”, M., 1992

[8] The precise UML group, http://www.cs.york.ac.uk/puml/maindetails.html

[9] Vladimirov V. S., Volovich I. V., Zelenov E. I., $p$-Adicheskii analiz i matematicheskaya fizika, Nauka, M., 1994 | MR

[10] Yablonskii S. V., “Osnovnye ponyatiya kibernetiki”, Problemy kibernetiki, Vyp. 2, AN SSSR, M., 1959, 7–38

[11] Gasanov E. E., Kudryavtsev V. B., Teoriya khraneniya i poiska informatsii, Fizmatlit, M., 2002 | Zbl

[12] Pospelov I. G., Modelirovanie ekonomicheskikh struktur, Fazis, M., 2003

[13] Krasnoschekov P. S., Petrov A. A., Printsipy postroeniya modelei, Fazis, M., 2000 | Zbl

[14] Glushkov V. M., Sintez tsifrovykh avtomatov, Fizmatgiz, M., 1962 | MR

[15] Khopkroft D., Motvani R., Ulman D., Vvedenie v teoriyu avtomatov, yazykov i vychislenii, Izd. dom “Vilyams”, M., 2002

[16] Bukharaev R. G., Osnovy teorii veroyatnostnykh avtomatov, Nauka, M., 1985 | MR | Zbl

[17] Dirac P. A. M., The principles of quantum mechanics, Oxford Univ. Press, Oxford, 1930 | MR

[18] Volovich I. V., Seven principles of quantum mechanics, , 2002 arXiv: /quant-ph/0212126 | MR