Chaotic behaviour of distributed nonlinear circuits

M.I. Sobhy; E.A. Hosny; A.A.A. Nasser; IEEE

doi:10.1109/ISCAS.1992.230614

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Conference proceeding

Chaotic behaviour of distributed nonlinear circuits

M.I. Sobhy, E.A. Hosny, A.A.A. Nasser and IEEE

1992 IEEE International Symposium on Circuits and Systems (ISCAS), Vol.6, pp.2809-2812 vol.6

1992

DOI: https://doi.org/10.1109/ISCAS.1992.230614

Abstract

Bifurcation

Chaos

Circuit stability

Distributed parameter circuits

Equations

Nonlinear circuits

Oscillators

Piecewise linear techniques

Stability analysis

Transmission line theory

A detailed procedure for analyzing the chaotic behavior of a second-order negative resistance distributed oscillator is presented. Both cases of commensurate transmission lines and noncommensurate transmission lines are considered. The negative resistance characteristics as well as the relative length of the transmission lines play an important role in the qualitative behavior of the circuit. The circuit behavior is investigated near Neimark, and Flip bifurcation boundaries. The technique used depends upon the properties of the iterated maps, the (- alpha , beta ), and the multilevel oscillation theorems. The route to chaos through a period adding sequence is displayed by means of time-domain phase-plane simulations and bifurcation diagrams.< >

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Details

Title: Chaotic behaviour of distributed nonlinear circuits
Creators - without role: M.I. Sobhy - University of Kent
E.A. Hosny - University of Kent
A.A.A. Nasser - University of Kent
IEEE
Publication Details: 1992 IEEE International Symposium on Circuits and Systems (ISCAS), Vol.6, pp.2809-2812 vol.6
Publisher: IEEE
Identifiers: 9951340308331
Academic Unit: King Saud University
Language: English
Resource Type: Conference proceeding