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KIAM Preprint  37, Moscow, 2019
Authors: Ilin I.E., Orlov Y. N.
Statistical recognition of the dynamical systems with chaotic perturbation
Abstract:
In this paper we consider a method of analyzing time series, generated by nonlinear dynamical systems with noise component in the form of perturbation. Noise filtering is carried out by evaluating the domain of density of the joint distribution function of values and its increments, depending on the fineness of the partitioning of the multidimensional histogram. Examples of different types of perturbations are given: additive noise, dimension perturbation, noise in the implementation of a dynamic system, random switching, injection of several processes.
Keywords:
dynamical systems, optimal histogram clusterization, self-consistent significance level, noise filtration
Publication language: russian,  pages: 24
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Ilin Ilia Eduardovich,  ,  , VI
  • Orlov Yurii Nikolaevich,  orcid.org/0000-0002-1356-5137KIAM RAS