Characteristics of Chaotic Regimes in a Space-distributed Gyroklystron Model with Delayed Feedback

    Received 20 November 2017; accepted 05 December 2017

    2018, Vol. 14, no. 2, pp.  155-168

    Author(s): Rozental R. M., Isaeva O. B., Ginzburg N. S., Zotova I. V., Sergeev A. S., Rozhnev A. G.

    Within the framework of the nonstationary model with nonfixed field structure, we investigate the model of a 3-mm band gyroklystron with delayed feedback. It is shown that both chaotic and hyperchaotic generation regimes are possible in this system. The chaotic regime due to a Feigenbaum period-doubling cascade is characterized by one positive Lyapunov exponent. Further transition to hyperchaos is determined by the appearance of another positive exponent in the Lyapunov spectrum. The correlation dimension of the corresponding attractors reaches values of about 3.5.
    Keywords: chaos, hyperchaos, Lyapunov exponents, gyroklystron
    Citation: Rozental R. M., Isaeva O. B., Ginzburg N. S., Zotova I. V., Sergeev A. S., Rozhnev A. G., Characteristics of Chaotic Regimes in a Space-distributed Gyroklystron Model with Delayed Feedback, Rus. J. Nonlin. Dyn., 2018, Vol. 14, no. 2, pp.  155-168

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