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On the periodic logistic equation
Al-Sharawi, Ziyad ; Angelos, James
Al-Sharawi, Ziyad
Angelos, James
Description
Abstract
We show that the π-periodic logistic equation π³βββ = ΞΌβ mod ππ³β(1 - π³β) has cycles (periodic solutions) of minimal periods 1; π; 2π; 3π; β¦. Then we extend Singerβs theorem to periodic difference equations, and use it to show the π-periodic logistic equation has at most π stable cycles. Also, we present computational methods investigating the stable cycles in case π = 2 and 3.