Speciality:
01.01.04 (Geometry and topology)
Birth date:
05.07.1935
E-mail: Keywords: differential dynamical systems; aksiom A systems; strange attractors.
Subject:
There are given new examles of strange attractors and the dynamic classification of the hyperbolic codimension one attractors of a stretched type; the structure of the centralizers of the matricies inducing anosov diffeomorphisms are investigated and the topological classification of the hyperbolic codimension one attractors of a stretched type is given.
Main publications:
R. V. Plykin. Istochniki i stoki A–diffeomorfizmov poverkhnostei // Matematicheskii sbornik. # 6. 1974. 243–264.
R. V. Plykin. O geometrii giperbolicheskikh attraktorov gladkikh kaskadov // UMN. T. 39. 6(1984). 75–113.
R. V .Plykin. O strukture tsentralizatorov anosovskikh diffeomorfizmov tora // UMN. T. 53. 6(1998). 259–260.
R. V. Plykin. Topological classification of the hyperbolic attractors for cascades and the problem in unimodular matrixes arithmetics // Tezisy dokladov mezhdunarodnoi konferentsii Progress in nonlinear science. Nizny Novgorod. 2001. 70.
