Bifurcation Results for Traveling Waves in Nonlinear Magnetic Metamaterials-Reference-Cited by-同舟云学术

Bifurcation Results for Traveling Waves in Nonlinear Magnetic Metamaterials

Published:2014-11 Issue:11 Volume:24 Page:1450147
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Agaoglou M.¹,Rothos V. M.¹,Frantzeskakis D. J.²,Veldes G. P.²,Susanto H.³

Affiliation:

1. Department of Mathematics, Physics Computational Sciences, Faculty of Engineering, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece

2. Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece

3. Department of Mathematical Sciences, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, UK

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127414501478

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