The Andronov-Hopf bifurcation in a model of a hypothetical gene regulatory network
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Stability of the limit cycles of small amplitude resulting from the Andronov-Hopf bifurcation is studied in a system of ordinary differential equations which describes the behavior of a hypothetical gene regulatory network.
KeywordsPeriodic Solution Hopf Bifurcation Central Manifold Stable Cycle Stable Limit Cycle
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- 3.V. P. Golubyatnikov and E. V. Makarov, “Closed Trajectories in the Gene Networks,” in Proceedings of the 4th International Conference on Bioinformatics of Genome Regulation and Structure (Novosibirsk, 2004), Vol. 2, pp. 42–45.Google Scholar