Abstract
Analytical solutions of periodic motions in a time-delayed, quadratic nonlinear oscillator with periodic excitation are obtained through the finite Fourier series, and the stability and bifurcation analysis for periodic motions are discussed. The bifurcation trees of period-1 motion to chaos can be presented. Numerical illustration of periodic motion is given to verify the analytical solutions.
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Luo, A.C.J., Jin, H. (2016). On Periodic Motions in a Time-Delayed, Quadratic Nonlinear Oscillator with Excitation. In: Luo, A., Merdan, H. (eds) Mathematical Modeling and Applications in Nonlinear Dynamics. Nonlinear Systems and Complexity, vol 14. Springer, Cham. https://doi.org/10.1007/978-3-319-26630-5_2
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DOI: https://doi.org/10.1007/978-3-319-26630-5_2
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