Sinusoidal excitation on the Chua's circuit simulation of limit cycles and chaos

Erik Lindberg

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Abstract

Experiments with modelling and simulation of sinusoidal excitation on Chua's circuit are presented. It is demonstrated that the behaviour of the circuit is based on the interaction of two different kinds of energy balance: chaotic behaviour based on a balance between two unstable “states of charging”, and stable limit cycle behaviour based on the balance between the energy lost in the regions with mainly positive losses and the energy gained in the regions with mainly negative losses. Convergence problems observed in connection with simulation of the ideal piecewise-linear model are solved by means of a smooth continuous model of the nonlinear element based on the ideal operational amplifier model instead of a polynomial approximation. The movements of the eigenvalues as functions of the nonlinear resistance are found. Stable limit cycles of periods 1, 2, 3 and 5 are found by introducing losses
Original languageEnglish
Title of host publicationProceedings of the IEEE International Symposium on Circuits and Systems
VolumeVolume 6
PublisherIEEE
Publication date1994
Pages5-8
ISBN (Print)07-80-31915-X
DOIs
Publication statusPublished - 1994
Event1994 IEEE International Symposium on Circuits and Systems - London, United Kingdom
Duration: 30 May 19942 Jun 1994
http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=3224

Conference

Conference1994 IEEE International Symposium on Circuits and Systems
CountryUnited Kingdom
CityLondon
Period30/05/199402/06/1994
Internet address

Bibliographical note

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