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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

Authors


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Institution:
University of Oxford
Oxford college:
St Hilda's College
Role:
Author
More by this author
Institution:
University of Oxford
Oxford college:
St Hilda's College
Role:
Author
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Publisher:
World Scientific Publishing Publisher's website
Journal:
International Journal of Bifurcation and Chaos Journal website
Volume:
27
Pages:
1730008
Publication date:
2017-03-01
Acceptance date:
2016-11-17
DOI:
Source identifiers:
660143
Keywords:
Pubs id:
pubs:660143
UUID:
uuid:e8bbf75b-1719-432f-a825-25ae9fbb3323
Local pid:
pubs:660143
Deposit date:
2016-11-18

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