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We discuss the problem of a dynamical system with delayed feedback, a hybrid bistable device, characterized by n response times and described by an nth-order differential-delay equation (DDE). Starting from a linear-stability analysis of the DDE we show the effects of the second-order differential terms on the position of the first bifurcation and on the frequency of the resulting self-oscillation. We also consider the effects of the third-order differential terms on the first bifurcation. Experimental results are shown to support the linear analysis. A numerical solution of the second-order DDE is also presented and a comparison is established with the first-order case.
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Vallée et al. (1987) studied this question.
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