Discrete fractional logistic map and its chaos
A discrete fractional logistic map is proposed in the left Caputo discrete delta’s sense. The new model holds discrete memory. The bifurcation diagrams are given and the chaotic behaviors are numerically illustrated.
KeywordsDiscrete fractional calculus Chaos Time scale Caputo delta difference
This work was financially supported by the National Natural Science Foundation of China (Grant No. 11301257) and the Innovative Team Program of the Neijiang Normal University.