Publisher's Synopsis
Volume 5 in a series which provides up-to-date reports on the progress and status of current research into mathematical physics, particularly for those who do not read Russian.;The scenarios of the birth of multidimensional strange attractors and their role in describing turbulence which evolves as the Reynolds number increases are considered. The analytical estimation of the dimensions of strange attractors is studied in detail for models described by differential-difference equations. A renormalization group description is constructed for the evolution of dynamic chaos along the spatial coordinate in point models of "shear turbulence". The conditions under which space-homogeneous chaos is stable with respect to random perturbations in flow systems are found.
