In this paper,we consider a modification of the well-known logistic family using a family of fuzzy numbers.The dynamics of this modified logistic map is studied by computing its topological entropy with a given accura...In this paper,we consider a modification of the well-known logistic family using a family of fuzzy numbers.The dynamics of this modified logistic map is studied by computing its topological entropy with a given accuracy.This computation allows us to characterize when the dynamics of the modified family is chaotic.Besides,some attractors that appear in bifurcation diagrams are explained.Finally,we will show that the dynamics induced by the logistic family on the fuzzy numbers need not be complicated at all.展开更多
基金supported by the grant MTM2017-84079-P funded by MCIN/AEI/10.13039/501100011033by“ERDF A way of making Europe”by the European Union。
文摘In this paper,we consider a modification of the well-known logistic family using a family of fuzzy numbers.The dynamics of this modified logistic map is studied by computing its topological entropy with a given accuracy.This computation allows us to characterize when the dynamics of the modified family is chaotic.Besides,some attractors that appear in bifurcation diagrams are explained.Finally,we will show that the dynamics induced by the logistic family on the fuzzy numbers need not be complicated at all.
