English

Specific behavior of one chaotic dynamics near the fine-structure constant

Pattern Formation and Solitons 2012-05-29 v1 Adaptation and Self-Organizing Systems Chaotic Dynamics

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.

Keywords

Cite

@article{arxiv.1205.6091,
  title  = {Specific behavior of one chaotic dynamics near the fine-structure constant},
  author = {D. B. Volov},
  journal= {arXiv preprint arXiv:1205.6091},
  year   = {2012}
}

Comments

9 pages, 6 figures