Browsing Department of Mathematics and Statistics by Author "99f27368-ed0e-453e-a2ef-32e55879c82b"

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    • Basin of Attraction through Invariant Curves and Dominant Functions 

      Al-Sharawi, Ziyad; Al-Ghassani, Asma; Amleh, Amal (Hindawi, 2015)
      We study a second-order difference equation of the form 𝑧ₙ₊₁= 𝑧ₙ𝐹(𝑧ₙ₋₁) + ℎ, where both 𝐹(𝑧) and 𝑧𝐹(𝑧) are decreasing. We consider a set of invariant curves at ℎ = 1 and use it to characterize the behaviour of ...

    • The effect of maps permutation on the global attractor of a periodic Beverton-Holt model 

      Al-Ghassani, Asma; Al-Sharawi, Ziyad (Elsevier, 2020-04-01)
      Consider a p-periodic difference equation xn+1 = fn(xn) with a global attractor. How does a permutation [fσ(p−1), . . . , fσ(1), fσ(0)] of the maps affect the global attractor? In this paper, we limit this general question ...