A Method for Calculating the Spectrum of Lyapunov Exponents for Delay Systems


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Resumo

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.

Sobre autores

A. Koloskova

Saratov State University

Email: o.i.moskalenko@gmail.com
Rússia, Saratov, 410012

O. Moskalenko

Saratov State University

Autor responsável pela correspondência
Email: o.i.moskalenko@gmail.com
Rússia, Saratov, 410012

A. Koronovskii

Saratov State University

Email: o.i.moskalenko@gmail.com
Rússia, Saratov, 410012

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