Abstract
The chaotic dynamics of a gyrotron with nonfixed field structure is numerically simulated and the Lyapunov exponents of chaotic attractors are calculated. The dimensions of chaotic attractors estimated using the Kaplan-Yorke formula prove to be anomalously high. This fact is related to the presence of a large number of high-Q eigenmodes in the gyrotron resonator operating in the vicinity of a critical frequency of the electrodynamic system.
Similar content being viewed by others
References
H. G. Schuster, Deterministic Chaos (Physik-Verlag, Weinheim, 1984).
E. Ott, Chaos in Dynamical Systems (Cambridge Univ. Press, New York, 1993).
S. P. Kuznetsov, Dynamic Chaos (Fizmatlit, Moscow, 2001) [in Russian].
B. P. Bezruchko, L. V. Bulgakova, S. P. Kuznetsov, and D. I. Trubetskov, Radiotekh. Élektron. (Moscow) 28, 1136 (1983).
S. P. Kuznetsov and D. I. Trubetskov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 47(5), 1 (2004).
V. Dronov, M. R. Hendry, T. M. Antonsen, and E. Ott, Chaos 14, 30 (2004).
N. S. Ginzburg, N. A. Zavolsky, G. S. Nusinovich, and A. S. Sergeev, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 29(1), 106 (1986).
M. I. Airila, O. Dumbrajs, A. Reinfelds, and U. Strautins, Phys. Plasmas 8, 4608 (2001).
N. S. Ginzburg, N. I. Zaitsev, E. V. Ilyakov, et al., Pis’ma Zh. Tekh. Fiz. 28(9), 85 (2002) [Tech. Phys. Lett. 28, 395 (2002)].
R. M. Rozental, N. I. Zaitsev, I. S. Kulagin, et al., IEEE Trans. Plasma Sci. 32, 418 (2004).
E. V. Blokhina and A. G. Rozhnev, Radiotekh. Élektron. (Moscow) 49, 1390 (2004).
A. G. Rozhnev, J. Commun. Technol. Electron. 45, 595 (2000).
E. V. Blokhina and A. G. Rozhnev, in Proceedings of the 6th International Vacuum Electronics Conference (IVEC), Noordwijk (Netherlands), 2005, pp. 133–134.
Author information
Authors and Affiliations
Additional information
Original Russian Text © E.V. Blokhina, S.P. Kuznetsov, A.G. Rozhnev, 2006, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2006, Vol. 32, No. 8, pp. 83–94.
Rights and permissions
About this article
Cite this article
Blokhina, E.V., Kuznetsov, S.P. & Rozhnev, A.G. High-dimensional chaotic attractors in a gyrotron with nonfixed field structure. Tech. Phys. Lett. 32, 364–368 (2006). https://doi.org/10.1134/S1063785006040274
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063785006040274