Analysis of chaotic behavior in lumped-distributed circuits applied to the time-delayed Chua's circuit

E.A. Hosny; M.I. Sobhy

doi:10.1109/81.340858

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Journal article

Analysis of chaotic behavior in lumped-distributed circuits applied to the time-delayed Chua's circuit

E.A. Hosny and M.I. Sobhy

IEEE transactions on circuits and systems. 1, Fundamental theory and applications, Vol.41(12), pp.915-918

01/12/1994

DOI: https://doi.org/10.1109/81.340858

Abstract

Capacitors

Chaos

Circuits

Equations

Inductors

Jacobian matrices

Stability

Transmission line matrix methods

Transmission line theory

Voltage

A general method for the analysis of prechaotic and chaotic behaviors in lumped-distributed circuits has been developed. The method is applied to the time-delayed Chua's circuit and the analysis predicts the possibility of the existence of multilevel oscillations and chaotic behavior of the circuit. The proposed procedure predicts the presence of multilevel oscillations which may lead to a chaotic behavior of this circuit. A bifurcation diagram, and phase plane are presented which verify the proposed procedure.< >

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Title: Analysis of chaotic behavior in lumped-distributed circuits applied to the time-delayed Chua's circuit
Creators - without role: E.A. Hosny - University of Kent
M.I. Sobhy - University of Kent
Publication Details: IEEE transactions on circuits and systems. 1, Fundamental theory and applications, Vol.41(12), pp.915-918
Publisher: IEEE
Identifiers: 9952905708331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article