Bifurcation Results for Traveling Waves in Nonlinear Magnetic Metamaterials
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910308535107584 |
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| author | Agaoglou, M. Rothos, V. M. Fratzeskakis, D. J Veldes, G. P. Susanto, H. |
| author_facet | Agaoglou, M. Rothos, V. M. Fratzeskakis, D. J Veldes, G. P. Susanto, H. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13846 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bifurcation Results for Traveling Waves in Nonlinear Magnetic Metamaterials Agaoglou, M. Rothos, V. M. Fratzeskakis, D. J Veldes, G. P. Susanto, H. Mathematical Physics Pattern Formation and Solitons 34-xx 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. |
| title | Bifurcation Results for Traveling Waves in Nonlinear Magnetic Metamaterials |
| topic | Mathematical Physics Pattern Formation and Solitons 34-xx |
| url | https://arxiv.org/abs/2401.13846 |