Controlling intermediate dynamics in a family of quadratic maps
Chaotic Dynamics
2017-10-02 v1
Abstract
The intermediate dynamics of composed one-dimensional maps is used to multiply attractors in phase space and create multiple independent bifurcation diagrams which can split apart. Results are shown for the composition of k-paradigmatic quadratic maps with distinct values of parameters generating k-independent bifurcation diagrams with corresponding k orbital points. For specific conditions, the basic mechanism for creating the shifted diagrams is the prohibition of period doubling bifurcations transformed in saddle-node bifurcations.
Keywords
Cite
@article{arxiv.1709.10170,
title = {Controlling intermediate dynamics in a family of quadratic maps},
author = {Rafael M. da Silva and Cesar Manchein and Marcus W. Beims},
journal= {arXiv preprint arXiv:1709.10170},
year = {2017}
}
Comments
6 pages and 5 figures