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• W2891568620 abstract "Recently fractional calculus started to gain much importance due to its applications to the mathematical modeling of real phenomena with memory effect. Besides, singular modeling, which has been accompanied by exhibiting more complicated dynamics rather than standard models, can reveal the instability mechanism of wide-range of physical systems. Utilizing these two applicable techniques of modeling, a generalization of the logistic growth model, which takes into account the effects of memory and economic interest, is suggested in this paper. Besides mathematical analysis and extracting new results on the equilibrium points and local stability studies of discrete-time commensurate fractional-order singular (FOS) state space systems, some basic dynamical properties and qualitative analysis of the new chaotic FOS logistic map are studied, either numerically or analytically, to explore the impacts of real order and economic interest on the presented system in biological contexts." @default.
• W2891568620 created "2018-09-27" @default.
• W2891568620 creator A5027273282 @default.
• W2891568620 creator A5031584658 @default.
• W2891568620 date "2018-10-01" @default.
• W2891568620 modified "2023-09-30" @default.
• W2891568620 title "Fractional-order singular logistic map: Stability, bifurcation and chaos analysis" @default.
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• W2891568620 doi "https://doi.org/10.1016/j.chaos.2018.08.023" @default.
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