Abstract
Mathematical models of the systems of the coupled van der Pol-Duffing equations with the chaotizing feedback algorithm (CFA) and the parametric chaotization algorithm (PCA) are considered. Numerical methods are used to analyze particular cases of the systems that do not employ the CFA and have mutual or unidirectional resistive coupling. The chaotic modes formed under asynchronous interactions of the oscillations of partial oscillators are considered. It is demonstrated that oscillations can be chaotized using the CFA or PCA when regular operating modes are realized in the absence of these algorithms.
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References
A. Tondl, Some Problems of Self-Excited Vibrations of Rotors (SNTL, Prague, 1974; Mir, Moscow, 1979).
A. A. Koronovskii, A. E. Khramov, and I. A. Khromova, Pis’ma Zh. Tekh. Fiz. 30, 69 (2004) [Tech. Phys. Lett. 30, 587 (2004)].
A. S. Dmitriev and V. Ya Kislov, Stochastic Oscillations in Radiophysics and Electronics (Nauka, Moscow, 1989) [in Russian].
E. V. Kal’yanov, Nelineinyi Mir 1, 45 (2003).
E. V. Kal’yanov, Radiotekh. Elektron. (Moscow) 49, 69 (2004) [J. Commun. Technol. Electron, 49, 62 (2004)].
E. V. Kal’yanov, Pis’ma Zh. Tekh. Fiz. 30, 45 (2004) [Tech. Phys. Lett. 30, 633 (2004)].
E. E. Zhelezovskii and E. V. Kal’yanov, Multifrequency Modes in Microwave Devices (Svyaz’, Moscow, 1978) [in Russian].
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Original Russian Text © E.V. Kal’yanov, V.Ya. Kislov, 2006, published in Radiotekhnika i Elektronika, 2006, Vol. 51, No. 1, pp. 65–73.
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Kal’yanov, E.V., Kislov, V.Y. Self-oscillating systems with chaotic dynamics based on the van der Pol-Duffing equations. J. Commun. Technol. Electron. 51, 59–67 (2006). https://doi.org/10.1134/S1064226906010086
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DOI: https://doi.org/10.1134/S1064226906010086