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Periodic oscillations in transmission lines with nonlinear terminations

  • R. Lupini
Article

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.

Key words. Differential-difference equations, Hopf bifurcation. 

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Copyright information

© Birkhäuser Verlag, Basel, 1998

Authors and Affiliations

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

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