Document Type

Article

Date of Original Version

10-1-2013

Abstract

We investigate the basins of attraction of equilibrium points and minimal period-two solutions of the difference equation of the form xn+1 = x2n-1/(ax2n + bxnxn-1 + cx2n-1), n = 0, 1, 2, …, where the parameters a, b, and c are positive numbers and the initial conditions x−1 and x0 are arbitrary nonnegative numbers. The unique feature of this equation is the coexistence of an equilibrium solution and the minimal period-two solution both of which are locally asymptotically stable.

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Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

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