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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