• Corpus ID: 231925032

Nanoptera in weakly nonlinear woodpile and diatomic granular chains

  title={Nanoptera in weakly nonlinear woodpile and diatomic granular chains},
  author={Guo Deng and Christopher J. Lustri and Mason A. Porter},
We study “nanoptera”, which are non-localized traveling waves with exponentially small but non-decaying oscillations, in two singularly-perturbed Hertzian chains with precompression. These two systems are woodpile chains (which we model as systems of Hertzian particles and springs) and diatomic Hertzian chains with alternating masses. We demonstrate that nanoptera arise from Stokes phenomena and appear as special curves, which are called “Stokes curves”, are crossed in the complex plane. We use… 

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