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On Periodic Motion and Bifurcations in Three-Dimensional Nonlinear Systems

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We present geometric conditions for the existence of a closed trajectory with symmetry in three-dimensional nonlinear systems. A generator with quadratic nonlinearity and a Chua circuit are considered as examples.

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Correspondence to A. A. Martynyuk.

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Translated from Neliniini Kolyvannya, Vol. 17, No. 2, pp. 268–280, April–June, 2014.

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Martynyuk, A.A., Nikitina, N.V. On Periodic Motion and Bifurcations in Three-Dimensional Nonlinear Systems. J Math Sci 208, 593–606 (2015). https://doi.org/10.1007/s10958-015-2469-3

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  • DOI: https://doi.org/10.1007/s10958-015-2469-3

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