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- W2043390573 abstract "In this paper an oscillator with time delayed velocity feedback controls is studied in detail. The particular attention is focused on internal double-Hopf bifurcation with an external exciting force. Linear analysis is used to find the critical conditions under which a double-Hopf bifurcation occurs. Then center manifold theory is applied to obtain an ODE system described on a four-dimensional center manifold. Further, the technique of multiple-time scales is employed to find the approximate solutions of periodic and quasi-periodic motions. Finally, numerical simulation results are presented to verify the analytical predictions. Also, for some certain parameter values, numerical results show chaotic attractors." @default.
- W2043390573 created "2016-06-24" @default.
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- W2043390573 date "2005-01-01" @default.
- W2043390573 modified "2023-09-26" @default.
- W2043390573 title "Double-Hopf Bifurcation in an Oscillator With External Forcing and Time-Delayed Feedback Control" @default.
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- W2043390573 doi "https://doi.org/10.1115/detc2005-85549" @default.
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