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Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo

Abstract:

We report on the finding of hidden hyperchaos in a 5D extension to a known 3D self-exciting homopolar disc dynamo. The hidden hyperchaos is identified through three positive Lyapunov exponents under the condition that the proposed model has just two stable equilibrium states in certain regions of parameter space. The new 5D hyperchaotic self-exciting homopolar disc dynamo has multiple attractors including point attractors, limit cycles, quasi-periodic dynamics, hidden chaos or hyperchaos, as ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1063/1.4977417

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Institution:
University of Oxford
Oxford college:
St Hilda's College
Role:
Author
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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
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Publisher:
American Institute of Physics Publisher's website
Journal:
Chaos Journal website
Volume:
27
Issue:
3
Pages:
033101
Publication date:
2017-02-01
Acceptance date:
2017-02-13
DOI:
ISSN:
1089-7682
Source identifiers:
680653
Pubs id:
pubs:680653
UUID:
uuid:c250e77c-b2ce-46f2-9c6b-8f277ca9e528
Local pid:
pubs:680653
Deposit date:
2017-02-17

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