METHOD FOR CALCULATION OF LYAPUNOV EXPONENTS SPECTRUM FROM DATA SERIES
Cite this article as:
Perederiy Y. А. METHOD FOR CALCULATION OF LYAPUNOV EXPONENTS SPECTRUM FROM DATA SERIES. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 1, pp. 99-104. DOI: https://doi.org/10.18500/0869-6632-2012-20-1-99-104
The new method for the calculating of the spectrum of the Lyapunov exponents from data series is proposed. The already known methods of the same thematic are investigated. The Roessler system is given as an example for describing the proposed method. The results of numerical modeling are presented.
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BibTeX
author = {Y. А. Perederiy},
title = {METHOD FOR CALCULATION OF LYAPUNOV EXPONENTS SPECTRUM FROM DATA SERIES},
year = {2012},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {20},number = {1},
url = {https://old-andjournal.sgu.ru/en/articles/method-for-calculation-of-lyapunov-exponents-spectrum-from-data-series},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2012-20-1-99-104},pages = {99--104},issn = {0869-6632},
keywords = {Lyapunov exponents,time series,numerical modeling,Benettin’s algorithm.},
abstract = {The new method for the calculating of the spectrum of the Lyapunov exponents from data series is proposed. The already known methods of the same thematic are investigated. The Roessler system is given as an example for describing the proposed method. The results of numerical modeling are presented. }}