Abstract
The time-delayed Duffing oscillator is extensively applied in engineering and particle physics. Determination of periodic motions in such a system is significant. Thus, here in, period motions in the time-delayed Duffing oscillator are discussed through a semi-analytical method. The semi-analytical method is based on the implicit mappings constructed by discretization of the corresponding differential equation. Complex period-3 motions are predicted, and the corresponding stability and bifurcation analysis are completed.
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Luo, A.C.J., Xing, S. (2018). Bifurcation Trees of Period-3 Motions to Chaos in a Time-Delayed Duffing Oscillator . In: Volchenkov, D., Leoncini, X. (eds) Regularity and Stochasticity of Nonlinear Dynamical Systems. Nonlinear Systems and Complexity, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-319-58062-3_10
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