title: Feigenbaum cascade of discrete breathers in a model of DNA.
abstract: We demonstrate that period-doubled discrete breathers appear from the anticontinuum limit of the driven Peyrard-Bishop-Dauxois model of DNA. These novel breathers result from a stability overlap between subharmonic solutions of the driven Morse oscillator. Subharmonic 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 subharmonic solutions. In DNA these breathers may have ramifications for cellular gene expression.
authors.affiliation: Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
authors.forename: P
authors.initials: P
authors.lastname: Maniadis
authors.forename: B S
authors.initials: BS
authors.lastname: Alexandrov
authors.forename: A R
authors.initials: AR
authors.lastname: Bishop
authors.forename: K Ø
authors.initials: KØ
authors.lastname: Rasmussen
mesh_terms: D020029:Base Pairing; D004247:DNA / Q000737:chemistry* / Q000235:genetics / Q000378:metabolism; D017711:Nonlinear Dynamics
chemical_list: D004247:DNA