Abstract
The phenomenon of generalized chaotic synchronization has been studied in a system of two unidirectionally coupled chaotic oscillators modeling two-sresonator klystron autooscillators. A mechanism explaining the observed behavior is presented.
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References
I.I. Blekhman, Synchronization in Nature and Engineering (Nauka, Moscow, 1981) [in Russian].
A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: Universal Concept in Nonlinear Sciences (Cambridge Univ. Press, Cambridge, 2001; Tekhnosfera, Moscow, 2003).
N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E 51, 980 (1995).
M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997).
L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
A. E. Hramov and A. A. Koronovskiĭ, Chaos 14, 603 (2004).
A. E. Hramov and A. A. Koronovskiĭ, Physica D 206, 252 (2005).
L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996).
D. I. Trubetskov and A. E. Hramov, Lectures on Microwave Electronics for Physicists (Fizmatlit, Moscow, 2003), Vol. 1 [in Russian].
D. I. Trubetskov and A. E. Hramov, Lectures on Microwave Electronics for Physicists (Fizmatlit, Moscow, 2004), Vol. 2 [in Russian].
A. S. Dmitriev, L. V. Kuz’min, A. I. Panas, and S. O. Starkov, Radiotekh. Élektron. (Moscow) 43, 1115 (1998).
A. S. Dmitriev and A. I. Panas, Dynamical Chaos: New Information Media for Communication Systems (Fizmatlit, Moscow, 2002) [in Russian].
M. Hastler, G. Mazzini, M. Ogorzalek, et al., Proc. IEEE 90, 640 (2002).
B. S. Dmitriev, Yu. D. Zharkov, N. M. Ryskin, and A. M. Shigaev, Radiotekh. Élektron. (Moscow) 46, 604 (2001).
B. S. Dmitriev, Yu. D. Zharkov, K. K. Kizhaeva, et al., Izv. Vyssh. Uchebn. Zaved. Prikl. Nelineinaya Din. 10(5), 37 (2002).
N. M. Ryskin and A. M. Shigaev, Zh. Tekh. Fiz. 76(1), 72 (2006) [Tech. Phys. 51, 68 (2006)].
H. D. I. Abarbanel, N. F. Rulkov, and M. M. Sushchik, Phys. Rev. E 53, 4528 (1996).
A. E. Hramov and A. A. Koronovskiĭ, Europhys. Lett. 70, 169 (2005).
A. A. Koronovskiĭ, O. I. Moskalenko, and A. E. Hramov, Zh. Tekh. Fiz. 76(2), 1 (2006) [Tech. Phys. 51, 143 (2006)].
V. N. Shevchik, Fundamentals of Microwave Electronics (Sov. Radio, Moscow, 1959 [in Russian].
L. A. Vainshtein and V. A. Solntsev, Lectures on Microwave Electronics (Sov. Radio, Moscow, 1973) [in Russian].
A. E. Hramov and A. A. Koronovskiĭ, Phys. Rev. E 71, 067201 (2005).
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Original Russian Text © A.V. Starodubov, A.A. Koronovskiĭ, A.E. Hramov, Yu.D. Zharkov, B.S. Dmitriev, 2007, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2007, Vol. 33, No. 14, pp. 58–65.
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Starodubov, A.V., Koronovskiĭ, A.A., Hramov, A.E. et al. Generalized synchronization in a system of coupled klystron chaotic oscillators. Tech. Phys. Lett. 33, 612–615 (2007). https://doi.org/10.1134/S1063785007070218
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DOI: https://doi.org/10.1134/S1063785007070218