The study of the parameter space of chaotic systems is complicated by its high dimensionality (multi-parametricability). Two approaches to the study of chaotic systems are presented: multi-parameter analysis and optimal suppression of chaotic dynamics. For non-autonomous chaotic systems, this is the way to compare the effectiveness of various correction parameters that provide optimal removal of irregular dynamics. For the class of autonomous chaotic systems, this is the way to investigate the optimal conditions of super-stable behavior for the chaotic system.
 A. P. Kuznetsov, S. P. Kuznetsov and I. R. Sataev, “A Variety of Period-Doubling Universality Classes in Multi-Parameter Analysis of Transition to Chaos,” Physica D, Vol. 109, No. 1-2, 1997, pp. 91-112. doi:10.1016/S0167-2789(97)00162-0
 Y. V. Talagaev and A. F. Tarakanov, “Superstability and Optimal Multiparametrical Suppression of Chaotic Dynamics in a Class of Autonomous Systems with Quadratic Nonlinearities,” Differential Equations, Vol. 48, No. 1, 2012, pp. 153-157. doi:10.1134/S001226611110156