Specific behavior of one chaotic dynamics near the fine-structure constant
arXiv:1205.6091
Abstract
A chaotic dynamics generalizing the Verhulst, Ricker dynamics and containing a new parameter is introduced. It is established that with the value of this parameter approaching the fine-structure constant the chaos in the system is considerably weakening. It is shown that there is only one more value of this parameter characterized by ordering initially chaotic dynamics. Two-parameter Mandelbrot/Julia Sets are built for the complex map analogs.
arXiv comment9 pages, 6 figures
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