A Method for Calculating the Spectrum of Lyapunov Exponents for Delay Systems
- Авторы: Koloskova A.D.1, Moskalenko O.I.1, Koronovskii A.A.1
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Учреждения:
- Saratov State University
- Выпуск: Том 44, № 5 (2018)
- Страницы: 374-377
- Раздел: Article
- URL: https://bakhtiniada.ru/1063-7850/article/view/207631
- DOI: https://doi.org/10.1134/S1063785018050085
- ID: 207631
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Аннотация
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.
Об авторах
A. Koloskova
Saratov State University
Email: o.i.moskalenko@gmail.com
Россия, Saratov, 410012
O. Moskalenko
Saratov State University
Автор, ответственный за переписку.
Email: o.i.moskalenko@gmail.com
Россия, Saratov, 410012
A. Koronovskii
Saratov State University
Email: o.i.moskalenko@gmail.com
Россия, Saratov, 410012
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