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Synchronization and electronic circuit application of hidden hyperchaos in a four-dimensional self-exciting homopolar disc dynamo without equilibria

Abstract:

We introduce and investigate a four-dimensional hidden hyperchaotic system without equilibria, which is obtained by augmenting the three-dimensional self-exciting homopolar disc dynamo due to H. K. Moffatt with an additional control variable. Synchronization of two such coupled disc dynamo models is investigated by active control and sliding mode control methods. Numerical integrations show that sliding mode control provides a better synchronization in time, but causes chattering. The solutio...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1155/2017/7101927

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Kocamaz, UE More by this author
More by this author
Institution:
University of Oxford
Department:
St Hildas College
Publisher:
Hindawi Publishing Corporation Publisher's website
Journal:
Complexity Journal website
Volume:
2017
Pages:
7101927
Publication date:
2017-05-31
Acceptance date:
2017-03-19
DOI:
EISSN:
1099-0526
ISSN:
1076-2787
Pubs id:
pubs:687169
URN:
uri:3a45b9b0-9920-41bf-b642-132283184b55
UUID:
uuid:3a45b9b0-9920-41bf-b642-132283184b55
Local pid:
pubs:687169

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