OPTIMAL MULTIPARAMETRICAL CORRECTION OF DYNAMIC SYSTEMS: ANALYSIS AND OPTIMAL CHAOS SUPPRESSION

We review the results of multiparametrical analysis and optimal suppression of the chaotic dynamics. For the class of autonomous Lorenz-like chaotic systems it is shown how to study the condition and optimal ways to achieve superstability. In case of non-autonomous chaotic systems represented by dissipative nonlinear oscillators it allows comparing the efciency of vari-ous forms of parametric perturbations which provide optimal elimination of nonregular dynamics. Key words Multiparametrical analysis, chaos suppression, opti-mal correction, superstability, Melnikov method