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 xn＋1=rnxx（1-xn）, n=0, 1,...,where {rn} is a positive p-periodic ...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 xn＋1=rnxx（1-xn）, n=0, 1,...,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.展开更多
基金Supported by NSF(Grant No.61134005)the Fundamental Research Funds for the Central Universities
文摘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 xn＋1=rnxx（1-xn）, n=0, 1,...,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.
