Feigenbaum Cascade of Discrete Breathers in a Model of DNA
Pattern Formation and Solitons
2011-01-13 v2 Soft Condensed Matter
Biological Physics
Abstract
We demonstrate that period-doubled discrete breathers appear from the anti-continuum limit of the driven Peyrard-Bishop-Dauxois model of DNA. These novel breathers result from a stability overlap between sub-harmonic solutions of the driven Morse oscillator. Sub-harmonic breathers exist whenever a stability overlap is present within the Feigenbaum cascade to chaos and therefore an entire cascade of such breathers exists. This phenomenon is present in any driven lattice where the on-site potential admits sub-harmonic solutions. In DNA these breathers may have ramifications for cellular gene expression.
Keywords
Cite
@article{arxiv.1012.2565,
title = {Feigenbaum Cascade of Discrete Breathers in a Model of DNA},
author = {P. Maniadis and B. S. Alexandrov and A. R. Bishop and K. Ø. Rasmussen},
journal= {arXiv preprint arXiv:1012.2565},
year = {2011}
}