Geodesic
Characteristics of Chaotic Regimes in a Space-distributed Gyroklystron Model with Delayed Feedback
Russian journal of nonlinear dynamics, Tome 14 (2018) no. 2, pp. 155-168

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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: hyperchaos, Lyapunov exponents
Mots-clés : chaos, gyroklystron. 
@article{ND_2018_14_2_a0,
     author = {R. M. Rozental and O. B. Isaeva and N. S. Ginzburg and I. V. Zotova and A. S. Sergeev and A. G. Rozhnev},
     title = {Characteristics of {Chaotic} {Regimes} in a {Space-distributed} {Gyroklystron} {Model} with {Delayed} {Feedback}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {155--168},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2018_14_2_a0/}
}
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R. M. Rozental; O. B. Isaeva; N. S. Ginzburg; I. V. Zotova; A. S. Sergeev; A. G. Rozhnev. Characteristics of Chaotic Regimes in a Space-distributed Gyroklystron Model with Delayed Feedback. Russian journal of nonlinear dynamics, Tome 14 (2018) no. 2, pp. 155-168. http://geodesic.mathdoc.fr/item/ND_2018_14_2_a0/