Low-frequency discrete breathers in long-range systems without on-site potential

Yoshiyuki Y. Yamaguchi and Yusuke Doi
Phys. Rev. E 97, 062218 – Published 25 June 2018

Abstract

A mechanism of long-range couplings is proposed to realize low-frequency discrete breathers without on-site potentials. The realization of such discrete breathers requires a gap below the band of linear eigenfrequencies. Under the periodic boundary condition of a one-dimensional lattice and the limit of large population, we show theoretically that the long-range couplings universally open the gap below the band irrespective of the coupling functions, while the short-range couplings cannot. The existence of the low-frequency discrete breathers, spatial localization, and stability are numerically analyzed from long range to short range.

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  • Received 25 October 2017

DOI:https://doi.org/10.1103/PhysRevE.97.062218

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

Yoshiyuki Y. Yamaguchi*

  • Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan

Yusuke Doi

  • Department of Adaptive Machine Systems, Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan

  • *yyama@amp.i.kyoto-u.ac.jp
  • doi@ams.eng.osaka-u.ac.jp

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Issue

Vol. 97, Iss. 6 — June 2018

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