Abstract
A condition is found for the existence of dynamic chaos in a Neimark oscillator operating in the anomalous mode. The simplest cases of Markovian mapping are investigated. A method has been developed to determine the correlation functions of a chaotic process in the Markovian case. Examples of correlation functions are considered.
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References
Yu. I. Neimark, Dynamic Systems and Controlled Processes [in Russian], Nauka, Moscow (1978).
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Additional information
Moscow State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 36, No. 9, pp. 892–904, September, 1993.
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Stratonovich, R.L., Ruzmaikina, A.A. & Chichigina, O.A. Dynamic chaos in an oscillator with negative friction. Anomalous mode. Radiophys Quantum Electron 36, 613–622 (1993). https://doi.org/10.1007/BF01038205
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DOI: https://doi.org/10.1007/BF01038205