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Detecting hidden chaotic regions and complex dynamics in the self-exciting homopolar disc dynamo

Abstract:

In 1979, H. K. Moffatt has pointed out that the conventional treatment of the simplest self-exciting homopolar disc dynamo has inconsistencies because of the neglect of induced azimuthal eddy currents, which can be resolved by introducing a segmented disc dynamo. Here we return to the simple dynamo system proposed by Moffatt, and demonstrate previously unknown hidden chaotic attractors. Then we study multistability and coexistence of three types of attractors in the autonomous dynamo system i...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1142/S0218127417300087

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Institution:
University of Oxford
Oxford college:
St Hilda's College
Role:
Author
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Institution:
University of Oxford
Oxford college:
St Hilda's College
Role:
Author
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Name:
Natural Science Foundation of Hubei Province
Grant:
2014CFB897
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Name:
Government of Chaoyang District Postdoctoral Research Foundation
Grant:
2015ZZ-7
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Name:
Fundamental Research Funds for the Central Universities, China University of Geosciences
Grant:
CUGL150419
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Name:
China Postdoctoral Science Foundation
Grant:
2015T80029
More from this funder
Name:
Beijing Postdoctoral Research Foundation
Grant:
2015ZZ17
Publisher:
World Scientific Publishing
Journal:
International Journal of Bifurcation and Chaos More from this journal
Volume:
27
Pages:
1730008
Publication date:
2017-03-01
Acceptance date:
2016-11-17
DOI:
Keywords:
Pubs id:
pubs:660143
UUID:
uuid:e8bbf75b-1719-432f-a825-25ae9fbb3323
Local pid:
pubs:660143
Source identifiers:
660143
Deposit date:
2016-11-18

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