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Strategies for the control of chaos in a Duffing-Holmes oscillator

Strategies for the control of chaos in a Duffing-Holmes oscillator
Strategies for the control of chaos in a Duffing-Holmes oscillator
A feasibility study has been carried out on a number of different methods of controlling chaos in a Duffing/Holmes oscillator. Four different control strategies have been investigated via numerical integration of the governing equations. The same orbit has been successfully stabilised with three of the methods. The results for these orbits are presented in the body of the paper. Some supplementary results for the stabilisation of other orbits are gathered in an appendix. Comparisons have been made in terms of control effort, ease of use and applicability to an experimental system.
0888-3270
987-1002
Sifakis, M.K.
5cc8e4a4-37b3-44fd-ad40-e298cb7ab942
Elliott, S.J.
4d1787f2-dcac-4ede-bc41-82ed658a9fac
Sifakis, M.K.
5cc8e4a4-37b3-44fd-ad40-e298cb7ab942
Elliott, S.J.
4d1787f2-dcac-4ede-bc41-82ed658a9fac

Sifakis, M.K. and Elliott, S.J. (2000) Strategies for the control of chaos in a Duffing-Holmes oscillator. Mechanical Systems and Signal Processing, 14 (6), 987-1002. (doi:10.1006/mssp.2000.1317).

Record type: Article

Abstract

A feasibility study has been carried out on a number of different methods of controlling chaos in a Duffing/Holmes oscillator. Four different control strategies have been investigated via numerical integration of the governing equations. The same orbit has been successfully stabilised with three of the methods. The results for these orbits are presented in the body of the paper. Some supplementary results for the stabilisation of other orbits are gathered in an appendix. Comparisons have been made in terms of control effort, ease of use and applicability to an experimental system.

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Published date: 2000

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Local EPrints ID: 10786
URI: http://eprints.soton.ac.uk/id/eprint/10786
ISSN: 0888-3270
PURE UUID: 6cd03290-f515-43ab-9746-b6a9a4092c77

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Date deposited: 09 Feb 2006
Last modified: 15 Mar 2024 05:00

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Author: M.K. Sifakis
Author: S.J. Elliott

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