Feigenbaum Cascade of Discrete Breathers in a Model of DNA

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 s...

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Bibliographic Details
Published in:arXiv.org 2011-01
Main Authors: Maniadis, P, Alexandrov, B S, Bishop, A R, K \O Rasmussen
Format: Article
Language:English
Subjects:
Breathers
Deoxyribonucleic acid
DNA
Gene expression
Stability
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1012.2565