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	A CUBIC SYSTEM WITH 8 SMALL-AMPLITUDE LIMIT-CYCLES
	NING, SC ; MA, SL ; KWEK, KH ; ZHENG, ZM
	1994
关键词	LIMIT CYCLES FINE FOCUS PERTURBATION SYMBOLIC COMPUTATION ORDERING
英文摘要	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 = sigma*a7, where 666/97 < sigma* < 103/15, can be weakened as a9 = sigma.a7 or a9 = sigma1a7, where 283/125 < sigma1 < 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.; Mathematics, Applied; SCI(E); 12; ARTICLE; 4; 23-27; 7
语种	英语
出处	SCI
出版者	应用数学快报
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/258552]
专题	数学科学学院
推荐引用方式 GB/T 7714	NING, SC,MA, SL,KWEK, KH,et al. A CUBIC SYSTEM WITH 8 SMALL-AMPLITUDE LIMIT-CYCLES. 1994-01-01.

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