RECONSTRUCTION OF BLURRED ORBITS UNDER FINITE RESOLUTION

Techniques to retrieve information about orbits of dynamical systems l ost in the process of making measurements due to discretization, sampl ing, or noise are developed. A general method of reprocessing the expe rimentally obtained data to effectively increase its information conte nt (the accuracy of measurements) is proposed. Potential applications include many areas of applied mathematics such as inverse problems, ti me series analysis, ill posed problems, etc. The method can also be us ed to help construct new highly accurate measuring devices.