A new statistical method for filtering and entropy estimation of a chaotic map from noisy data

G. Jogesh Babu, Abraham Boyarsky, Yogendra P. Chaubey, Pawel Góra

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Abstract

We consider a discrete time deterministic chaotic dynamical system, x n+1 = τ(xn), where τ is a nonlinear map of the unit interval into itself. We assume that T is piecewise expanding and piecewise C2. The effects of noise contamination are modeled by x n+1 = τ(xn) + ξn, where ξn is an independent random variable with small noise amplitude. A new statistical method is presented for filtering τ and estimating the metric entropy of τ from observed noisy data.

Original languageEnglish (US)
Pages (from-to)3989-3994
Number of pages6
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume14
Issue number11
DOIs
StatePublished - Nov 2004

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All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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