论文信息 - Lossy transmision lines terminated by R-loads with exponential V–I characteristics

Lossy transmision lines terminated by R-loads with exponential V–I characteristics

Abstract It is known that in many cases the losses in the transmission lines cannot be disregarded. Here we consider the mixed problem for a system describing a lossy transmission line terminated by a nonlinear R -load. Most often, the V–I characteristics of the nonlinear loads are approximated by polynomials. But analysis and design of integrated electronic circuits sometimes require an approximation by exponential functions. This leads to neutral functional differential equations with exponential nonlinearities. We show of how to solve such equations by means of the fixed-point method and obtain conditions for the existence of periodic regimes of lossy transmission lines.

V. G. Angelov | V. Angelov

[1] J. M. Ladbury,et al. Electrically short dipoles with a nonlinear load, a revisited analysis , 2002 .

[2] V. S. Vladimirov,et al. Equations of mathematical physics , 1972 .

[3] Stephen A. Maas,et al. Nonlinear microwave circuits , 1988 .

[4] M. Shimura,et al. Analysis of Some Nonlinear Phenomena in a Transmission Line , 1967, IEEE Transactions on Circuit Theory.

[5] John L. Casti,et al. Introduction to the theory and application of differential equations with deviating arguments , 1973 .

[6] R. Brayton. Bifurcation of periodic solutions in a nonlinear difference-differential equations of neutral type , 1966 .

[7] J. Nagumo,et al. Self-Oscillation in a Transmission Line with a Tunnel Diode , 1961, Proceedings of the IRE.

[8] Jianhong Wu,et al. Self-Sustained Oscillations in a Ring Array of Coupled Lossless Transmission Lines , 1996 .

[9] V. Angelov. Fixed point theorem in uniform spaces and applications , 1987 .

[10] Paul M. Chirlian. Analysis and design of integrated electronic circuits , 1980 .

[11] L. Chua. Nonlinear circuits , 1984 .

[12] R. Brayton. Nonlinear oscillations in a distributed network , 1967 .

[13] D. W. Krumme,et al. Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations , 1968 .