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ISSN 2542-1905 (Online)

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Koronovskii A. A., Rempen I. S., Hramov A. E. Numerical study of chaotic dynamics control in distributed active medium. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 1, pp. 51-79. DOI: 10.18500/0869-6632-2004-12-1-51-79

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Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
621.385
DOI: 
10.18500/0869-6632-2004-12-1-51-79

Numerical study of chaotic dynamics control in distributed active medium

Autors: 
Koronovskii Aleksei Aleksandrovich, Saratov State University
Rempen Irina S., Saratov State University
Hramov Aleksandr Evgenevich, Immanuel Kant Baltic Federal University
Abstract: 

We investigate the possibility of controlling of complex time space dynamics of distributed beam-plasma system (fluid model of Pierce diode) with the help of several methods worked out for finite-dimensional systems. In the framework of the problem we analyse the unstable time-space periodical states similar to the unstable periodical orbits observed in the systems with few degree of freedom. The method of calculating the highest Lyapunov exponent of the distributed active system is also described.

Key words: 
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Acknowledgments: 
The authors express their gratitude to the correspondence member of Russian Academy of Sciences, Professor D.I. Trubetskov for the interest in this work and useful criticism. The work was supported by the program CRDF (grant REC-006), program of Support of the leading scientific schools of Russia., and the foundation of non-profit programs «Dinastiya» and the International Center of Fundamental Physics.
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Received: 
01.10.2003
Accepted: 
09.12.2003
Published: 
20.06.2004
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