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Simultaneous Zip Bifurcation and Limit Cycles in Three Dimensional Competition Models

✍ Scribed by Sáez, Eduardo; Stange, Eduardo; Szántó, Iván

Book ID
118203431
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
477 KB
Volume
5
Category
Article
ISSN
1536-0040

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## Abstract In this paper, by using a corollary to the center manifold theorem, we show that the 3‐D food‐chain model studied by many authors undergoes a 3‐D Hopf bifurcation, and then we obtain the existence of limit cycles for the 3‐D differential system. The methods used here can be extended to