Amplitude-dependent edge states and discrete breathers in non-linear modulated phononic lattices

  title={Amplitude-dependent edge states and discrete breathers in non-linear modulated phononic lattices},
  author={Matheus Inguaggiato Nora Rosa and Michael J. Leamy and Massimo Ruzzene},
  journal={The Journal of the Acoustical Society of America},
We explore the role of non-linearities on the spectral properties of modulated one-dimensional phononic lattices. In the linear regime, a spatial modulation of stiffness is known to produce topological gaps characterized by non-zero Chern numbers, which host topological states localized at the edges of finite domains. A continuation of the linear modes as a function of amplitude is performed, revealing a series of localization and de-localization transitions that are confirmed through direct… 
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