S. E. I. Bouzeraa, R. Bououden, Mohammed Salah Abdelouahab
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引用次数: 0
Abstract
ABSTRACT This paper investigates the discrete fractional-order logistic map and reports its fractional order with a fixed memory length version. The dynamic of the proposed system is analyzed using the bifurcation diagram and the recently introduced 0–1 test. It is shown that this fractional order with a fixed memory length logistic map can exhibit rich nonlinear dynamics such as period-doubling bifurcation and chaos. Furthermore, it does not require significant time to perform the calculations.
期刊介绍：
International Journal of General Systems is a periodical devoted primarily to the publication of original research contributions to system science, basic as well as applied. However, relevant survey articles, invited book reviews, bibliographies, and letters to the editor are also published.
The principal aim of the journal is to promote original systems ideas (concepts, principles, methods, theoretical or experimental results, etc.) that are broadly applicable to various kinds of systems. The term “general system” in the name of the journal is intended to indicate this aim–the orientation to systems ideas that have a general applicability. Typical subject areas covered by the journal include: uncertainty and randomness; fuzziness and imprecision; information; complexity; inductive and deductive reasoning about systems; learning; systems analysis and design; and theoretical as well as experimental knowledge regarding various categories of systems. Submitted research must be well presented and must clearly state the contribution and novelty. Manuscripts dealing with particular kinds of systems which lack general applicability across a broad range of systems should be sent to journals specializing in the respective topics.
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