Browsing College of Arts and Sciences (CAS) by Subject "Periodic difference equations"

Now showing items 1-3 of 3

    • Existence and stability of periodic orbits of periodic difference equations with delays 

      Al-Sharawi, Ziyad; Angelos, James; Elaydi, Saber (World Scientific Publishing, 2008)
      In this paper, we investigate the existence and stability of periodic orbits of the p-periodic difference equation with delays xₙ = f(n - 1, xₙ₋ₖ). We show that the periodic orbits of this equation depend on the periodic ...

    • A new characterization of periodic oscillations in periodic difference equations 

      Al-Salman, Ahmad; Al-Sharawi, Ziyad (Elsevier, 2011-11)
      In this paper, we characterize periodic solutions of p-periodic difference equations. We classify the periods into multiples of p and nonmultiples of p. We show that the elements of the set of multiples of p follow the ...

    • Periodic Orbits in Periodic Discrete Dynamics 

      Al-Sharawi, Ziyad (Elsevier, 2008)
      We study the combinatorial structure of periodic orbits of nonautonomous difference equations 𝒳ₙ₊₁ = 𝒇ₙ(𝒳ₙ) in a periodically fluctuating environment. We define the Ӷ-set to be the set of minimal periods that are not ...