The Shunted Homopolar Dynamo—An Analytic Approach to a Poincaré Map
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 239-251 |
Journal / Publication | Studies in Applied Mathematics |
Volume | 80 |
Issue number | 3 |
Publication status | Published - Jun 1989 |
Externally published | Yes |
Link(s)
DOI | DOI |
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Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(d92308d2-923a-45bd-b13b-a16daa4e4ad9).html |
Abstract
We study the set of ordinary differential equations governing the homopolar disk dynamo. It is found that this set, which is a modification of the Lorenz system, has strange attractors of Lorenz type when R (which corresponds to the Rayleigh number of the Lorenz system) tends to infinity. A central aspect of this study is that the Poincare map for this limit can be obtained through Melnikov's perturbation method, in contrast to the usual dependence on numerical computation.
Citation Format(s)
The Shunted Homopolar Dynamo—An Analytic Approach to a Poincaré Map. / LU, Ya Yan.
In: Studies in Applied Mathematics, Vol. 80, No. 3, 06.1989, p. 239-251.
In: Studies in Applied Mathematics, Vol. 80, No. 3, 06.1989, p. 239-251.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review