Bifurcation of Limit Cycles for 3D Lotka-Volterra Competitive Systems |
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| Authors: | Qinlong Wang Wentao Huang Haotao Wu |
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| Institution: | 1.School of Information and Mathematics,Yangtze University,Jingzhou,P.R. China;2.Ecological Complexity and Modeling Laboratory,University of California,Riverside,USA;3.School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin,P.R. China |
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| Abstract: | Bifurcation of limit cycles is discussed for three-dimensional Lotka-Volterra competitive systems. A recursion formula for
computation of the singular point quantities is given for the corresponding Hopf bifurcation equation. Some new results are
obtained for 6 classes 26–31 in Zeeman’s classification, especially, an example with four limit cycles in class 29 is given
for the first time. The algorithm applied here is effective for solving the above general cyclicity. |
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