Nonlinear Dynamics

, Volume 80, Issue 4, pp 1697–1703

Discrete chaos in fractional delayed logistic maps

Original Paper

DOI: 10.1007/s11071-014-1250-3

Cite this article as:
Wu, GC. & Baleanu, D. Nonlinear Dyn (2015) 80: 1697. doi:10.1007/s11071-014-1250-3
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Abstract

Recently the discrete fractional calculus (DFC) started to gain much importance due to its applications to the mathematical modeling of real world phenomena with memory effect. In this paper, the delayed logistic equation is discretized by utilizing the DFC approach and the related discrete chaos is reported. The Lyapunov exponent together with the discrete attractors and the bifurcation diagrams are given.

Keywords

Discrete fractional calculus Chaos Caputo-like delta difference 

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Key Laboratory of Numerical Simulation of Sichuan Province, College of Mathematics and Information ScienceNeijiang Normal UniversityNeijiangPeople’s Republic of China
  2. 2.College of Water Resource and HydropowerSichuan UniversityChengduPeople’s Republic of China
  3. 3.Department of Chemical and Materials Engineering, Faculty of EngineeringKing Abdulaziz UniversityJeddahSaudi Arabia
  4. 4.Department of Mathematics and Computer Sciences, Faculty of Arts and SciencesCankaya UniversityAnkaraTurkey
  5. 5.Institute of Space SciencesBucharestRomania

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