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On limit cycles of systems with a partial integral

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Abstract

For a certain class of two-dimensional autonomous systems of differential equations with an invariant curve that contains ovals, we indicate necessary and sufficient conditions for these ovals to be limit cycles of phase trajectories.

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References

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Original Russian Text © M.V. Dolov, S.A. Chistyakova, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 8, pp. 1193–1195.

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Dolov, M.V., Chistyakova, S.A. On limit cycles of systems with a partial integral. Diff Equat 48, 1180–1182 (2012). https://doi.org/10.1134/S0012266112080149

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