Effect of the time delay on the stability and instability of the logistic map
Dynamical Systems
2009-08-28 v1
Abstract
A proper discretization of the logistic differential equation, which is preserving these two distinct equilibrium solutions and their unstability and stability, suggest that we need to examine the time delay of the logistic map. According to Murray, the effect of delay in models is "usually" to increase the potential for instability. However the word "usually" is really ambiguous. In this paper, we mathematically formulate and prove the two conjectures about stability and instability.
Cite
@article{arxiv.0908.3970,
title = {Effect of the time delay on the stability and instability of the logistic map},
author = {Yoshifumi Takenouchi and Yasushi Ota},
journal= {arXiv preprint arXiv:0908.3970},
year = {2009}
}
Comments
10pages, 3tables