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Clocking convergence of the fractional difference logistic map
Nonlinear Dynamics ( IF 5.6 ) Pub Date : 2020-06-11 , DOI: 10.1007/s11071-020-05703-6
Daiva Petkevičiūtė-Gerlach , Inga Timofejeva , Minvydas Ragulskis

The convergence of the fractional difference logistic map is studied in this paper. A computational technique based on the visualisation of the algebraic complexity of transient processes is employed for that purpose. It is demonstrated that the dynamics of the fractional difference logistic map is similar to the behaviour of the extended invertible logistic map in the neighbourhood of unstable orbits. This counter-intuitive result provides a new insight into the transient processes of the fractional difference logistic map.



中文翻译:

分数差分逻辑映射的时钟收敛

研究了分数差分对数映射的收敛性。为此,采用了基于瞬态过程的代数复杂度可视化的计算技术。结果表明,分数差逻辑图的动力学与不稳定轨道附近的扩展可逆逻辑图的行为相似。这种违反直觉的结果为分数差分逻辑映射的瞬态过程提供了新的见解。

更新日期:2020-06-11
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