Discrete Chaos in Fractional Delayed Logistic Maps
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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 realworld 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.
Description
Wu, Guo-Cheng/0000-0002-1946-6770
ORCID
Keywords
Discrete Fractional Calculus, Chaos, Caputo-Like Delta Difference
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Wu, G.C., Baleanu, D. (2015). Discrete chaos in fractional delayed logistic maps. Nonlinear Dynamics, 80(4), 1697-1703. http://dx.doi.org/10.1007/s11071-014-1250-3
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Scopus Q
OpenCitations Citation Count
140
Source
Volume
80
Issue
4
Start Page
1697
End Page
1703
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CrossRef : 37
Scopus : 163
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