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On the Periodic Logistic Map |
Cui Ping LI, Ming ZHAO |
LMIB-School of Mathematics and Systems Science, Beihang University, Beijing 100191, P. R. China |
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Abstract In this paper, the famous logistic map is studied in a new point of view. We study the boundedness and the periodicity of non-autonomous logistic map#br#xn+1=rnxn(1-xn), n=0, 1,...,#br#where {rn} is a positive p-periodic sequence. The sufficient conditions are given to support the existence of asymptotically stable and unstable p-periodic orbits. This appears to be the first study of the map with variable parameter r.
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Received: 08 January 2016
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Fund:Supported by NSF (Grant No. 61134005) and the Fundamental Research Funds for the Central Universities |
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