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arXiv · 2401.13846

Bifurcation Results for Traveling Waves in Nonlinear Magnetic Metamaterials

M. Agaoglou·V. M. Rothos·D. J Fratzeskakis·G. P. Veldes·H. Susanto
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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.

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M. Agaoglou, V. M. Rothos, D. J Fratzeskakis, G. P. Veldes, H. Susanto. 2024-01-24. Bifurcation Results for Traveling Waves in Nonlinear Magnetic Metamaterials. https://doi.org/10.1142/s0218127414501478

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