Basins of attraction of equilibrium points of second order difference equations |
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Authors: | M. Garić-Demirović M.R.S. Kulenović M. Nurkanović |
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Affiliation: | 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 |
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Abstract: | We investigate the basins of attraction of equilibrium points and period-two solutions of the difference equation of the form where is decreasing in the first and increasing in the second variable. We show that the boundaries of the basins of attraction of different locally asymptotically stable equilibrium points are in fact the global stable manifolds of neighboring saddle or non-hyperbolic equilibrium points. |
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