Please use this identifier to cite or link to this item:
https://scholarbank.nus.edu.sg/handle/10635/102630
DC Field | Value | |
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dc.title | A cubic system with eight small-amplitude limit cycles | |
dc.contributor.author | Ning, S. | |
dc.contributor.author | Ma, S. | |
dc.contributor.author | Kwek, K.H. | |
dc.contributor.author | Zheng, Z. | |
dc.date.accessioned | 2014-10-28T02:27:52Z | |
dc.date.available | 2014-10-28T02:27:52Z | |
dc.date.issued | 1994-07 | |
dc.identifier.citation | Ning, S.,Ma, S.,Kwek, K.H.,Zheng, Z. (1994-07). A cubic system with eight small-amplitude limit cycles. Applied Mathematics Letters 7 (4) : 23-27. ScholarBank@NUS Repository. | |
dc.identifier.issn | 08939659 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/102630 | |
dc.description.abstract | In E.M. James and N.G. Lloyd's paper A Cubic System with Eight Small-Amplitude Limit Cycles [1], a set of conditions is given that ensures the origin to be a fine focus of order eight and eight limit cycles to bifurcate from the origin by perturbing parameters. We find that one of the conditions, a9 = σ*a7, where 666/97 < σ* < 103/15, can be weakened as a9 = σ*a7 or a9 = σ1a7, where 283/125 < σ1 < 284/125. In [1], deriving above conditions is reduced to finding the real solutions of a system of some algebraic equations and inequalities. When verifying these conditions by solving this system in a different ordering, we find another real solution to the system, which is leading to above improvement of the conditions. © 1994. | |
dc.source | Scopus | |
dc.subject | Fine focus | |
dc.subject | Limit cycles | |
dc.subject | Ordering. | |
dc.subject | Perturbation | |
dc.subject | Symbolic computation | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.sourcetitle | Applied Mathematics Letters | |
dc.description.volume | 7 | |
dc.description.issue | 4 | |
dc.description.page | 23-27 | |
dc.description.coden | AMLEE | |
dc.identifier.isiut | NOT_IN_WOS | |
Appears in Collections: | Staff Publications |
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