On the asymptotic behavior of a system of two rational difference equations

  • Authors:

  • Alina Gleska;Ewa Magnucka-Blandzi

  • Affiliations:

  • -;-

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2012

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Abstract

The subject of this paper is a system of two rational type difference equations with constant coefficients in the form: {x"1(n+1)=ax"1^k(n)+bx"2(n)x"2(n+1)=ax"1^k^^^2(n), where a, b@?R, k@?N={1,2,...}, n@?N"0, N"0={0,1,2,...}. The asymptotic behavior of the solutions and the phase portrait are described. Moreover, an attractor is investigated.