  A fast and efficient numerical-analytical approach is proposed for modeling
complex behaviour in the BBGKY hierarchy of kinetic equations. We construct the
multiscale representation for hierarchy of reduced distribution functions in
the variational approach and multiresolution decomposition in polynomial tensor
algebras of high-localized states. Numerical modeling shows the creation of
various internal structures from localized modes, which are related to
localized or chaotic type of behaviour and the corresponding patterns
(waveletons) formation. The localized pattern is a model for energy confinement
state (fusion) in plasma.
