Abstract
A one-dimensional two-parameter map whose behavior on the plane of control parameters qualitatively reproduces the dynamics of a flow system — an rf oscillator describable by a system of three ordinary differential equations. It is it is shown that that the behavior of the map largely coincides with that of the flow system and is also similar to the results of a previous experiment on the rf oscillator.
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References
A. S. Pikovsky and M. I. Rabinovich, Physica D 2, 8 (1981).
M. I. Rabinovich, Usp. Fiz. Nauk 125, 123 (1978) [Sov. Phys. Usp. 21, 443 (1978)].
A. S. Pikovskii, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 23, 883 (1980).
A. V. Andrushkevich and A. A. Kipchatov, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 33, 431 (1990).
A. V. Andrushkevich et al., Izv. Vyssh. Ucheb. Zaved. PND 1, 93 (1993).
A. S. Pikovskii and M. I. Rabinovich, Dokl. Acad. Nauk SSSR 239, 301 (1978) [Sov. Phys. Dokl. 23, 183 (1978)].
S. V. Kiyashko, A. S. Pikovskii, and M. I. Rabinovich, Radiotekh. Elektron. 25, 336 (1980).
B. P. Bezruchko, M. D. Prokhorov, and E. P. Seleznev, Chaos, Solution and Fractals 5, 2095 (1995).
B. P. Bezruchko, M. D. Prokhorov, and A. U. Zhalnin, Proceedings of the 5th International Specialist Workshop of Nonlinear Dynamics of Electronic Systems. NDES’97, Moscow, Russia, June 26–27, 1998, pp. 431–436.
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Pis’ma Zh. Tekh. Fiz. 24, 1–8 (September 17, 1998)
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Koronovskii, A.A. A new type of one-dimensional discrete map. Tech. Phys. Lett. 24, 665–667 (1998). https://doi.org/10.1134/1.1262238
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DOI: https://doi.org/10.1134/1.1262238