Travelling waves in nonlinear magneto-inductive lattices

We consider a lattice equation modelling one-dimensional metamaterials formed by a discrete array of nonlinear resonators. We focus on periodic travelling waves due to the presence of a periodic force. The existence and uniqueness results of periodic travelling waves of the system are presented. Our...

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Published in:Journal of Differential Equations 2016-01, Vol.260 (2), p.1717-1746
Main Authors: Agaoglou, M., Fečkan, M., Pospíšil, M., Rothos, V.M., Susanto, H.
Format: Article
Language:English
Subjects:
Forced magneto-inductive lattice
Lattice wave
Mathematics
Travelling wave
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description We consider a lattice equation modelling one-dimensional metamaterials formed by a discrete array of nonlinear resonators. We focus on periodic travelling waves due to the presence of a periodic force. The existence and uniqueness results of periodic travelling waves of the system are presented. Our analytical results are found to be in good agreement with direct numerical computations.
doi_str_mv 10.1016/j.jde.2015.09.043
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subjects Forced magneto-inductive lattice
Lattice wave
Mathematics
Travelling wave
title Travelling waves in nonlinear magneto-inductive lattices
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