Reconstruction of blurred orbits under finite resolution
The paper presents some techniques to retrieve information about orbits of dynamical systems lost in the process of making measurements due to discretization, sampling or noise. The authors propose a general method of reprocessing the experimentally obtained data to effectively increase its information content and show how the information about an orbit can be improved by a mere reprocessing of the data without having to change the experimental setup used for measurements. The method presented in the case of one-dimensional blurred orbits is then extended to higher- dimensional discrete dynamical systems. The efficiency of the proposed method is studied for the examples of the Henon map and the Holmes map.
scientific article; zbMATH DE number 803667
scientific article