Email this article A Method for Calculating the Spectrum of Lyapunov Exponents for Delay Systems
- Authors: Koloskova A.D.1, Moskalenko O.I.1, Koronovskii A.A.1
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Affiliations:
- Saratov State University
- Issue: Vol 44, No 5 (2018)
- Pages: 374-377
- Section: Article
- URL: https://bakhtiniada.ru/1063-7850/article/view/207631
- DOI: https://doi.org/10.1134/S1063785018050085
- ID: 207631
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Abstract
A method for calculating the spectrum of Lyapunov exponents for delay systems is proposed. To validate the method, a delayed-feedback oscillator and the Mackay–Glass equation are considered as model systems. For both systems, bifurcation diagrams and spectra of Lyapunov exponents are constructed as functions of one of the control parameters. The results are shown to be in good agreement with each other, which indicates the efficacy of the proposed method.
About the authors
A. D. Koloskova
Saratov State University
Email: o.i.moskalenko@gmail.com
Russian Federation, Saratov, 410012
O. I. Moskalenko
Saratov State University
Author for correspondence.
Email: o.i.moskalenko@gmail.com
Russian Federation, Saratov, 410012
A. A. Koronovskii
Saratov State University
Email: o.i.moskalenko@gmail.com
Russian Federation, Saratov, 410012
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