@article{e9de8a51b7ee4bd697fd5c31df5bca91,
title = "Bifurcation results for traveling waves in nonlinear magnetic metamaterials",
abstract = "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.",
keywords = "localized waves, Melnikov function, metamaterials, periodic waves, Resonator",
author = "M. Agaoglou and Rothos, {V. M.} and Frantzeskakis, {D. J.} and Veldes, {G. P.} and H. Susanto",
note = "Funding Information: The work of M. Agaoglou has been co-financed from resources of the operational program “Education and Lifelong Learning” of the European Social Fund and the National Strategic Reference Frame-work (NSRF) 2007–2013 within the framework of the Action State Scholarships Foundation{\textquoteright}s (IKY) mobility grants program for the short term training in recognized scientific/research centers abroad for candidate doctoral or postdoctoral researchers in Greek universities or research centers. The work of V. M. Rothos 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: THALES Investing in knowledge society through the European Social Fund. The work of D. J. Frantzeskakis was partially supported by the Special Account for Research Grants of the University of Athens. Publisher Copyright: {\textcopyright} 2014 World Scientific Publishing Company.",
year = "2014",
month = nov,
day = "25",
doi = "10.1142/S0218127414501478",
language = "British English",
volume = "24",
journal = "International Journal of Bifurcation and Chaos",
issn = "0218-1274",
publisher = "World Scientific",
number = "11",
}