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arXiv · 1012.2565

Feigenbaum Cascade of Discrete Breathers in a Model of DNA

P. Maniadis·B. S. Alexandrov·A. R. Bishop·K. Ø. Rasmussen
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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.

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P. Maniadis, B. S. Alexandrov, A. R. Bishop, K. Ø. Rasmussen. 2010-12-12. Feigenbaum Cascade of Discrete Breathers in a Model of DNA. https://doi.org/10.1103/physreve.83.011904

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