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Synchronised behaviour in three coupled Faraday disk homopolar dynamos

Abstract:

Hide [1] introduced a system of N self-exciting Faraday disk homopolar dynamos, symmetrically coupled through the nonlinear terms, as testbeds for analytical and numerical studies of coupled mechanical dynamos. When N = 2, the system is governed by six coupled nonlinear ordinary differential equations and thirteen dimensionless parameters [2]. Synchronised periodic and chaotic solutions axe possible, which are both linearly phase and amplitude locked [2] as well as being linearly phase locked...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
FLUID MECHANICS AND THE ENVIRONMENT: DYNAMICAL APPROACHES
Volume:
566
Pages:
225-238
Publication date:
2001-01-01
Event title:
Symposium on Fluid Mechanics and the Environment held in honor of Sidney Leibovich
ISSN:
0075-8450
Source identifiers:
15830
ISBN:
3540414754
Pubs id:
pubs:15830
UUID:
uuid:8178beaf-fc58-4a31-a5c5-e5bcfcff082f
Local pid:
pubs:15830
Deposit date:
2012-12-19

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