@article{de5aea5add0c425bae447a5f4e494a2c,
title = "Travelling waves in nonlinear magneto-inductive lattices",
abstract = "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.",
keywords = "Forced magneto-inductive lattice, Lattice wave, Travelling wave",
author = "M. Agaoglou and M. Fe{\v c}kan and M. Posp{\'i}{\v s}il and Rothos, \{V. M.\} and H. Susanto",
note = "Funding Information: The work of MA has been co-financed from resources of the operational program “Education and Lifelong Learning” of the European Social Fund and the National Strategic Reference Framework (NSRF) 2007–2013 within the framework of the Action State Scholarships Foundation's ( IKY ) mobility grants programme for the short term training in recognized scientific/research centres abroad for candidate doctoral or postdoctoral researchers in Greek universities or research centres. MF is partially supported by Grants VEGA-MS 1/0071/14 , VEGA-SAV 2/0029/13 and by the Slovak Research and Development Agency under the contract No. APVV-14-0378 . MP is supported by Grant VEGA-SAV 2/0029/13 . The work of VR has been co-financed by the European Union ( European Social Fund ESF) and Greek national funds through the Operational Program Education and Lifelong Learning of the National Strategic Reference Framework (NSRF) Research Funding Program D.534 MIS: 379337 : THALES Investing in knowledge society through the European Social Fund . VR and HS acknowledge partial support from the London Mathematical Society through a visitor grant. Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",
year = "2016",
month = jan,
day = "15",
doi = "10.1016/j.jde.2015.09.043",
language = "British English",
volume = "260",
pages = "1717--1746",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "2",
}