Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 55, Issue 7-8, Pages 1998-2011Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2011.11.059
Keywords
Basin of attraction; Competitive; Map; Global stable manifold; Stability
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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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