Speciality:
01.01.09 (Discrete mathematics and mathematical cybernetics)
Birth date:
9.08.1937
Website: http://www.ccas.ru/Pavlovsky/pavlovsk.htm Keywords: theory of decomposition; group analysis of differential equation; simulation;control theory.
Subject:
The geometrical theory of mathematical objects decomposition have been developed in the framework of Bourbakis formalism. This theory is language which have only two dual notion in its foundation: the notion about P-decomposition and the notion about F-decomposition. It may be said in the most cases that objects P-decomposition (F-decomposition) is such family of subobjects (quotient objects) of the objects that the object may be reconstructed uniquely by the family.
Main publications:
Pavlovskii Yu. N., Smirnova T. S. Problema dekompozitsii v matematicheskom modelirovanii. M.: Fazis. 266 s.
Pavlovskii Yu. N. Imitatsionnye modeli i sistemy. M.: Fazis. 131 s.
Pavlovskii Yu. N. O shkalakh rodov struktur // Doklady RAN, 1998, tom 363, # 2, s. 163–165.
Pavlovskii Yu. N. O HPF- i PF- morfizmakh // Doklady RAN, 1999, tom 369, # 6, s 745–746.
