Global Behavior of Two Competitive Rational Systems of Difference Equations in the Plane
نویسندگان
چکیده
We investigate the global dynamics of solutions of two distinct competitive rational systems of difference equations in the plane. We show that the basins of attraction of different locally asymptotically stable equilibrium points are separated by the global stable manifolds of either saddle points or of non-hyperbolic equilibrium points. Our results give complete answer to Open Problem 1 posed recently in [2].
منابع مشابه
Global Behavior of Four Competitive Rational Systems of Difference Equations in the Plane
M. Garić-Demirović,1 M. R. S. Kulenović,2 and M. Nurkanović1 1 Department of Mathematics, University of Tuzla, 75000 Tuzla, Bosnia And Herzegovina 2 Department of Mathematics, University of Rhode Island, Kingston, RI 02881-0816, USA Correspondence should be addressed to M. R. S. Kulenović, [email protected] Received 29 August 2009; Accepted 27 October 2009 Recommended by Guang Zhang We invest...
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