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Discrete fractional logistic map and its chaos

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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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Acknowledgements

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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Authors and Affiliations

  1. Key Laboratory of Numerical Simulation of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang, 641112, P.R. China

    Guo-Cheng Wu

  2. College of Water Resource and Hydropower, Sichuan University, Chengdu, 610065, P.R. China

    Guo-Cheng Wu

  3. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, 21589, Saudi Arabia

    Dumitru Baleanu

  4. Institute of Space Sciences, Magurele-Bucharest, Romania

    Dumitru Baleanu

  5. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530, Balgat, Ankara, Turkey

    Dumitru Baleanu

Authors
  1. Guo-Cheng Wu
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  2. Dumitru Baleanu
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Correspondence to Dumitru Baleanu.

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Wu, GC., Baleanu, D. Discrete fractional logistic map and its chaos. Nonlinear Dyn 75, 283–287 (2014). https://doi.org/10.1007/s11071-013-1065-7

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  • DOI: https://doi.org/10.1007/s11071-013-1065-7

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