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Discrete fractional logistic map and its chaos |
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| Authors: | Guo-Cheng Wu Dumitru Baleanu |
| Affiliation: | 1. Key Laboratory of Numerical Simulation of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang, 641112, P.R. China 2. College of Water Resource and Hydropower, Sichuan University, Chengdu, 610065, P.R. China 3. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, 21589, Saudi Arabia 4. Institute of Space Sciences, Magurele-Bucharest, Romania 5. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530, Balgat, Ankara, Turkey |
| Abstract: | 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. |
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