Sufficient conditions for the existence of a closed trajectory in a system defined in a three-dimensional space are presented. Conservative and dissipative systems are considered. It is established that a strange attractor is an alternative of the Rössler attractor.
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Translated from Prikladnaya Mekhanika, Vol. 51, No. 4, pp. 3–16, July–August 2015.
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Martynyuk, A.A., Nikitina, N.V. On Periodic Motions in Three-Dimensional Systems. Int Appl Mech 51, 369–379 (2015). https://doi.org/10.1007/s10778-015-0697-3
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DOI: https://doi.org/10.1007/s10778-015-0697-3