Patterns in the sine map bifurcation diagram
Dynamical Systems
2010-12-01 v1 Chaotic Dynamics
Abstract
Numerical computations of bifurcation maps for one dimensional maps show patterns (regular jumps in point density) in the zones of chaotic behaviour. In this work, empiric formulas are given for these patterns for an entire class of maps.
Cite
@article{arxiv.1011.6552,
title = {Patterns in the sine map bifurcation diagram},
author = {Cristian Constantin Lalescu},
journal= {arXiv preprint arXiv:1011.6552},
year = {2010}
}