4.7 Article

Discrete fractional logistic map and its chaos

Journal

NONLINEAR DYNAMICS
Volume 75, Issue 1-2, Pages 283-287

Publisher

SPRINGER
DOI: 10.1007/s11071-013-1065-7

Keywords

Discrete fractional calculus; Chaos; Time scale; Caputo delta difference

Funding

  1. National Natural Science Foundation of China [11301257]
  2. Innovative Team Program of the Neijiang Normal University

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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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