Bifurcation results for traveling waves in nonlinear magnetic metamaterials

M. Agaoglou, V. M. Rothos, D. J. Frantzeskakis, G. P. Veldes, H. Susanto

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4 Scopus citations


In this work, we study a model of a one-dimensional magnetic metamaterial formed by a discrete array of nonlinear resonators. We focus on periodic and localized traveling waves of the model, in the presence of loss and an external drive. Employing a Melnikov analysis we study the existence and persistence of such traveling waves, and study their linear stability. We show that, under certain conditions, the presence of dissipation and/or driving may stabilize or destabilize the solutions. Our analytical results are found to be in good agreement with direct numerical computations.

Original languageBritish English
Article number1450147
JournalInternational Journal of Bifurcation and Chaos
Issue number11
StatePublished - 25 Nov 2014


  • localized waves
  • Melnikov function
  • metamaterials
  • periodic waves
  • Resonator


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