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Active and Passive Electronic Components
Volume 21, Issue 1, Pages 1-15
http://dx.doi.org/10.1155/1998/32462

A Retrospection of Chaotic Phenomena in Electrical Systems

Department of Electrical Engineering, lndian Institute of Technology, Delhi, Hauz Khas, New Delhi 110016, India

Received 12 November 1997; Accepted 23 January 1998

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In the last decade new phenomena have been observed in all areas of non linear dynamics, principal among these being ‘Chaotic phenomena’. Chaos has been reported virtually from every scientific discipline. This paper summarizes a study of the chaotic phenomena in electrical systems and attempts to translate the mathematical ideas and techniques into language that engineers and applied scientists can use to study ‘Chaos’. Towards this end, the paper has summarized the study of chaos in several examples like Chua’s circuit family; Folded Torus circuit; non-autonomous circuits; switched capacitor circuits and hyper-chaos circuits. As observed in power systems, control systems and digital filters, chaos has been exhibited and shown on examples.