Double-Period Breathers in a Driven-Damped Lattice

Alexandrov, Boian; Bel, Golan; Rasmussen, Kim Orskov; Bishop, Alan

doi:10.1103/PhysRevE.98.062205

Double-Period Breathers in a Driven-Damped Lattice

Journal Article · Sun Dec 09 23:00:00 EST 2018 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.98.062205· OSTI ID:1776754

^[1]; Bel, Golan ^[1]; ^[1]; Bishop, Alan ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Spatially localized and temporally oscillating solutions, known as discrete breathers, have been experimentally and theoretically discovered in many physical systems. Here, we consider a lattice of coupled damped and driven Helmholtz-Duffing oscillators in which we found a spatial coexistence of oscillating solutions with different frequencies. Specifically, we demonstrate that stable period-doubled solutions coexist with solutions oscillating at the frequency of the driving force. Such solutions represent period-doubled breathers resulting from a stability overlap between subharmonic and harmonic solutions and exist up to a certain strength of the lattice coupling. Our findings suggest that this phenomenon can occur in any driven lattice where the nonlinearity admits bistability (or multi-stability) of subharmonic and harmonic solutions.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: LDRD

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1776754

Alternate ID(s):: OSTI ID: 1485193

Report Number(s):: LA-UR--18-31028

Journal Information:: Physical Review E, Journal Name: Physical Review E Journal Issue: 6 Vol. 98; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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