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Periodic oscillations in transmission lines with nonlinear terminations

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Abstract.

In this paper we analyze the periodic solutions of the differential-difference equation describing a linear transmission line with nonlinear termination. When the period is multiple of the delay the periodic solutions of the differential-difference equation solve a finite set of ordinary differential equations in cyclic form. The Hopf-bifurcation in such a set is studied, and some properties of the bifurcating periodic solutions are pointed out.

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  1. Dipartimento di Matematica "V.Volterra" Facoltà di Ingegneria, Università di Ancona, Via delle Brecce Bianche, Ancona, Italy, (Fax: 071/2204870), Italy

    R. Lupini

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  1. R. Lupini
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Received: October 17, 1996; revised: April 7, 1997

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Lupini, R. Periodic oscillations in transmission lines with nonlinear terminations. Z. angew. Math. Phys. 49, 86–112 (1998). https://doi.org/10.1007/s000330050083

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  • DOI: https://doi.org/10.1007/s000330050083

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