New effective algorithm for stabilizing periodic orbits of chaotic systems

摘要

The paper presents a new algorithm for stabilizing periodic orbits, consisting of small changes in selected parameters of the chaotic system at any time of sampling. The system parameters are modified to minimize the distance of the trajectory trace from the fixed-point on the cross-section of the general Poincaré map. By modifying several parameters, it is possible to effectively eliminate chaotic oscillations in non-linear dynamic systems in the presence of strong interference and noise. The main attention has been focused on the Chua's circuit, which can be regarded as representative of a wide range of non-linear systems. The results of representative computer simulations were analyzed and interpreted in detail.