A Retrospection of Chaotic Phenomena in Electrical Systems

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 t...

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Main Author: Umesh Kumar
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:Active and Passive Electronic Components
Subjects:
Online Access:http://dx.doi.org/10.1155/1998/32462
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author Umesh Kumar
author_facet Umesh Kumar
author_sort Umesh Kumar
collection DOAJ
description 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.
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spelling doaj-art-06cf9f6a65ce4e459177b10c73f633fb2025-02-03T06:11:30ZengWileyActive and Passive Electronic Components0882-75161563-50311998-01-0121111510.1155/1998/32462A Retrospection of Chaotic Phenomena in Electrical SystemsUmesh Kumar0Department of Electrical Engineering, lndian Institute of Technology, Delhi, Hauz Khas, New Delhi 110016, IndiaIn 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.http://dx.doi.org/10.1155/1998/32462Choasphenomenanonlinear dynamicsnonlinear systems.
spellingShingle Umesh Kumar
A Retrospection of Chaotic Phenomena in Electrical Systems
Active and Passive Electronic Components
Choas
phenomena
nonlinear dynamics
nonlinear systems.
title A Retrospection of Chaotic Phenomena in Electrical Systems
title_full A Retrospection of Chaotic Phenomena in Electrical Systems
title_fullStr A Retrospection of Chaotic Phenomena in Electrical Systems
title_full_unstemmed A Retrospection of Chaotic Phenomena in Electrical Systems
title_short A Retrospection of Chaotic Phenomena in Electrical Systems
title_sort retrospection of chaotic phenomena in electrical systems
topic Choas
phenomena
nonlinear dynamics
nonlinear systems.
url http://dx.doi.org/10.1155/1998/32462
work_keys_str_mv AT umeshkumar aretrospectionofchaoticphenomenainelectricalsystems
AT umeshkumar retrospectionofchaoticphenomenainelectricalsystems