Discrete breathers and Anderson modes: Two faces of the same phenomenon?

J. F R Archilla, R. S. MacKay, J. L. Marín

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27 Citations (Scopus)

Abstract

Time-periodic localized oscillations occur in a variety of contexts, in particular in weakly coupled anharmonic lattices and in disordered harmonic networks of oscillators, where they are known respectively as discrete breathers and Anderson modes. It is shown numerically in some examples of systems which interpolate between these two limits that discrete breathers can be continued to Anderson modes, modulo small jumps associated with resonance with Anderson modes on other parts of the network. © 1999 Elsevier Science B.V. All rights reserved.

Original languageEnglish
Pages (from-to)406-418
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Volume134
Issue number4
Publication statusPublished - 10 Dec 1999

Keywords

  • Anderson localization
  • Discrete breathers
  • Intrinsic localized modes

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    Archilla, J. F. R., MacKay, R. S., & Marín, J. L. (1999). Discrete breathers and Anderson modes: Two faces of the same phenomenon? Physica D: Nonlinear Phenomena, 134(4), 406-418.