Autoregressive methods for chaos on binary sequences for the Lorenz attractor

P. Singh, D. D. Joseph

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

A binary sequence is defined for the Lorenz attractor. This binary sequence contains some information about the original system. To extract this information we have used autoregressive methods from the theory of signal processing. The binary sequences and the associated methods could also be used to estimate the system characteristics when one does not have access to all the variables involved in the underlying process; this is usually the case in an experimental study. We introduce an autocorrelation function for binary sequences, a one-step predictor and associated power spectra and a macroscopic approximation of the largest Lyapunov exponent.

Original languageEnglish (US)
Pages (from-to)247-253
Number of pages7
JournalPhysics Letters A
Volume135
Issue number4-5
DOIs
StatePublished - Feb 27 1989
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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