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

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.

9 pages, 6 figures

References in corpus (3)

• The large deviation approach to statistical mechanics
• Nonconcave entropies in multifractals and the thermodynamic formalism
• Noise and seasonal effects on the dynamics of plant-herbivore models with monotonic plant growth functions

Cited by in corpus (1)

• Modified Klein-Gordon-Fock equations based on one-dimensional chaotic dynamics and groups with broken symmetry