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The limit cycles of a general Kolmogorov system

โœ Scribed by Yueding Yuan; Haibo Chen; Chaoxiong Du; Yuejin Yuan

Book ID
113721956
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
312 KB
Volume
392
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

Limit cycles in a general Kolmogorov mod
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โœ Xun C. Huang; Lemin Zhu ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 262 KB

The problem of limit cycles is interesting and significant both in theory and applications. In mathematical ecology, finding models that display a stable limit cycle-an attracting stable self-sustained oscillation, is a primary work. In this paper, a general Kolmogorov system, which includes the Ga

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we consider a class of cubic Kolmogorov systems. We show in particular that a maximum of six small amplitude limit cycles can bifurcate from a critical point in the first quadrant, and we discuss the number of invariant lines.