On Fractional Generalizations of the Logistic Map and their Applications
classification
🌊 nlin.CD
math-phmath.MP
keywords
logisticapplicationsfractionalgeneralizationsbifurcationscascadechaoscomplex
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The regular logistic map was introduced in 1960s, served as an example of a complex system, and was used as an instrument to demonstrate and investigate the period doubling cascade of bifurcations scenario of transition to chaos. In this paper, we review various fractional generalizations of the logistic map and their applications.
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Cited by 1 Pith paper
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Tricriticality and chaos in a generalized Allee-logistic map
A generalized Allee-logistic map interpolates between continuous and discontinuous extinction transitions and exhibits tricriticality with a closed-form tricritical point.
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