We describe an approach for analyzing the generalized synchronization of the unidirectionally coupled virtual cathode oscillators on the within the framework of the large-particle method. The generalized synchronization is diagnosed by the auxiliary-system method to confirm the results of the study.
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A. A. Koronovskii, D. I. Trubetskov, A. E. Hramov, Methods of Nonlinear Dynamics and Chaos in the Problems of Microwave Electronics, Vol. 2, Nonstationary and Chaotic Processes [in Russian], Fizmatlit, Moscow (2009).
N. N. Zalogin and V. V. Kislov, Wideband Chaotic Signals in Radio-Engineering and Information Systems [in Russian], Radiotekhnika, Moscow (2006).
A. A. Koronovskii, O. I. Moskalenko, and A. E. Hramov, Physics—Uspekhi, 52, No. 12, 1213 (2002).
R. A. Filatov, A. E. Hramov, and A. A. Koronovskii, Phys. Lett. A, 358, 301 (2006).
N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, et al., Phys. Rev. E, 51, No. 2, 980 (1995).
A. A. Koronovskii, O. I. Moskalenko, A. S. Pavlov, et al., Tech. Phys., 59, No. 5, 629 (2014).
Yu. A. Kalinin, A. A. Koronovskii, A. E. Khramov, et al., Plasma Phys. Rep., 31, No. 11, 938 (2005).
E. N. Egorov, Yu. A. Kalinin, A. A. Koronovskii, et al., Tech. Phys. Lett., 32, No. 5, 402 (2006).
K. Pyragas, Phys. Rev. E, 56, No. 5, 5183 (1997).
A. E. Hramov, A. A.Koronovskii, V. A. Maksimenko, et al., Phys. Plasmas, 19, No. 8, 082302 (2012).
A. E. Hramov and I. S. Rempen, Int. J. Electron., 91, No. 1, 1 (2004).
N. S. Phrolov, A. A. Koronovskii, Yu. A. Kalinin, et al., Phys. Lett. A, 378, Nos. 32–33, 2423 (2014).
N. S. Phrolov, V. A. Maksimenko, K. V. Ilyenko, et al., Bull. Rus. Acad. Sci. Phys., 78, No. 2, 156 (2014).
A. E. Hramov and A. A. Koronovskii, Phys. Rev. E, 71, No. 6, 067201 (2005).
H. D. Abarbanel, N. F. Rulkov, and M. M. Sushchik, Phys. Rev. E, 53, 4528 (1996).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 58, No. 10, pp. 886–891, October 2015.
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Osipov, G.V., Frolov, N.S. Analysis of Synchronous Dynamics of the Coupled Virtual Cathode Oscillators by Calculating the Spectrum of Lyapunov Exponents. Radiophys Quantum El 58, 793–797 (2016). https://doi.org/10.1007/s11141-016-9652-3
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DOI: https://doi.org/10.1007/s11141-016-9652-3