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

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Koronovskii A. A., Maksimenko V. A., Moskalenko O. I., Hramov A. E. On the problem of computation of the spectrum of spatial lyapunov exponents for the spatially extended beam plasma systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 2, pp. 158-174. DOI: 10.18500/0869-6632-2011-19-2-158-174

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Russian
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Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2011-19-2-158-174

On the problem of computation of the spectrum of spatial lyapunov exponents for the spatially extended beam plasma systems

Autors: 
Koronovskii Aleksei Aleksandrovich, Saratov State University
Maksimenko Vladimir Aleksandrovich, Immanuel Kant Baltic Federal University
Moskalenko Olga Igorevna, Saratov State University
Hramov Aleksandr Evgenevich, Immanuel Kant Baltic Federal University
Abstract: 

The behavior of the Pierce diode has been considered from the point of view of the spatial Lyapunov exponents. The method of calculation of the spectrum of the spatial Lyapunov exponents for the electron spatial extended systems has been proposed. The autonomous dynamics of the Pierce diode as well as the behavior of two unidirectionally coupled Pierce diodes when the generalized synchronization is taken place have been considered.

Key words: 
Lyapunov exponents
Pierce diode
generalized synchronization
Chaotic oscillators
dynamical system
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Received: 
04.10.2010
Accepted: 
09.03.2011
Published: 
31.05.2011
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