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• W4313143917 abstract "In this article, we will investigate a retarded van der Pol-Duffing oscillator with multiple delays. At first, we will find conditions for which Bogdanov-Takens (B-T) bifurcation occurs around the trivial equilibrium of the proposed system. The center manifold theory has been used to extract second order normal form of the B-T bifurcation. After that, we derived third order normal form. We also provide a few bifurcation diagrams, including those for the Hopf, double limit cycle, homoclinic, saddle-node, and Bogdanov-Takens bifurcation. In order to meet the theoretical requirements, extensive numerical simulations have been presented in the conclusion." @default.
• W4313143917 created "2023-01-06" @default.
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• W4313143917 date "2022-01-01" @default.
• W4313143917 modified "2023-10-01" @default.
• W4313143917 title "Complex dynamics and Bogdanov-Takens bifurcations in a retarded van der Pol-Duffing oscillator with positional delayed feedback" @default.
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• W4313143917 doi "https://doi.org/10.3934/mbe.2023135" @default.
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