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High-dimensional chaotic attractors in a gyrotron with nonfixed field structure

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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.

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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.

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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

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  • DOI: https://doi.org/10.1134/S1063785006040274

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