期刊
MATHEMATICAL AND COMPUTER MODELLING
卷 55, 期 7-8, 页码 1998-2011出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2011.11.059
关键词
Basin of attraction; Competitive; Map; Global stable manifold; Stability
We investigate the global dynamics of solutions of competitive rational systems of difference equations in the plane. We show that the basins of attractions of different locally asymptotically stable equilibrium points are separated by the global stable manifolds of either saddle points or of non-hyperbolic equilibrium points. (C) 2011 Elsevier Ltd. All rights reserved.
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