Denysov S. Metrical and topological peculiarities of low-dimensional nonlinear systems dynamics

Metrical and topological peculiarities generalized synchronization regimes, which arises as the result of interaction of the low-dimensional nonlinear systems. Peculiarities of transition to generalized synchronization in the case of topologicaly nonequivalent attractors are investigated both analitically and numerically. Hierarchy of the generalized synchronization regimes on the basis of the properties of continuity and differentiability of mappings, which couple the phase space of the interacting systems, nas been constructed. The concept of statistical pseudometrics has been defined, which has been used for obtaining metrical charachteristics of the dissipative chaotic systems. The obtained results can bee used in the fields of radiophysics, electronics and communications.