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Bifurcation results for traveling waves in nonlinear magnetic metamaterials

Agaoglou, M and Rothos, VM and Frantzeskakis, DJ and Veldes, GP and Susanto, H (2014) 'Bifurcation results for traveling waves in nonlinear magnetic metamaterials.' International Journal of Bifurcation and Chaos, 24 (11). ISSN 0218-1274

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Abstract

© 2014 World Scientific Publishing Company. 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.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Jim Jamieson
Date Deposited: 26 Jun 2015 06:17
Last Modified: 30 Jan 2019 16:19
URI: http://repository.essex.ac.uk/id/eprint/14118

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