Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2010-12-12
Phys. Rev. E 83, 011904 (2011)
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
10.1103/PhysRevE.83.011904
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.
Alexandrov Boian S.
Bishop Alan R.
Maniadis Panagiotis
Rasmussen Kim Ø.
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