Travelling waves in nonlinear magneto-inductive lattices

M. Agaoglou, M. Fečkan, M. Pospíšil, V. M. Rothos, H. Susanto

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageBritish English
Pages (from-to)1717-1746
Number of pages30
JournalJournal of Differential Equations
Issue number2
StatePublished - 15 Jan 2016


  • Forced magneto-inductive lattice
  • Lattice wave
  • Travelling wave


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