ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Balyakin A. A., Blohina E. V. Peculiarities of calculation of the Lyapunov exponents set in distributed sele-oscillated sistems with delayed feedback. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 2, pp. 87-110. DOI: 10.18500/0869-6632-2008-16-2-87-110

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Russian
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Journal in the journal
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Article
UDC: 
517.9, 621.385.6
DOI: 
10.18500/0869-6632-2008-16-2-87-110

Peculiarities of calculation of the Lyapunov exponents set in distributed sele-oscillated sistems with delayed feedback

Autors: 
Balyakin Artem Aleksandrovich, Saratov State University
Blohina Elena Vladimirovna, Saratov State University
Abstract: 

The numerical scheme for calculation the set of Lyapunov exponents in distributed systems with delayed feedback based on a modification of Benettine algorithm is described. The results of numerical simulation of two such systems (active oscillator with cubic nonlinearity and active oscillator of klystron type) are presented. The sets of Lyapunov exponents in different regimes, particularly in regimes of «weak» and «developed» chaos are analyzed. The calculation peculiarities of the set of Lyapunov exponents in the systems with delayed feedback are discussed.

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Received: 
16.11.2007
Accepted: 
26.02.2008
Published: 
30.04.2008
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