Bifurcation Results for Traveling Waves in Nonlinear Magnetic Metamaterials

Autor:	Agaoglou, M., Rothos, V. M., Fratzeskakis, D. J, Veldes, G. P., Susanto, H.
Rok vydání:	2024
Předmět:	Mathematical Physics Nonlinear Sciences - Pattern Formation and Solitons 34-xx
Zdroj:	International Journal of Bifurcation and Chaos, Vol. 24, No. 11, 1450147 (2014)
Druh dokumentu:	Working Paper
DOI:	10.1142/S0218127414501478
Popis:	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. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.13846 Zobrazit plný text záznamu View this record from Arxiv