Nonlinear Dynamics

, Volume 75, Issue 1–2, pp 283–287 | Cite as

Discrete fractional logistic map and its chaos

  • Guo-Cheng Wu
  • Dumitru Baleanu
Original Paper


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.


Discrete 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.


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Key Laboratory of Numerical Simulation of Sichuan Province, College of Mathematics and Information ScienceNeijiang Normal UniversityNeijiangP.R. China
  2. 2.College of Water Resource and HydropowerSichuan UniversityChengduP.R. China
  3. 3.Department of Chemical and Materials Engineering, Faculty of EngineeringKing Abdulaziz UniversityJeddahSaudi Arabia
  4. 4.Institute of Space SciencesMagurele-BucharestRomania
  5. 5.Department of Mathematics and Computer Sciences, Faculty of Arts and SciencesCankaya UniversityBalgat, AnkaraTurkey

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