Agaoglou, M and Fečkan, M and Pospíšil, M and Rothos, VM and Susanto, H (2016) Travelling waves in nonlinear magneto-inductive lattices. Journal of Differential Equations, 260 (2). pp. 1717-1746. DOI https://doi.org/10.1016/j.jde.2015.09.043
Agaoglou, M and Fečkan, M and Pospíšil, M and Rothos, VM and Susanto, H (2016) Travelling waves in nonlinear magneto-inductive lattices. Journal of Differential Equations, 260 (2). pp. 1717-1746. DOI https://doi.org/10.1016/j.jde.2015.09.043
Agaoglou, M and Fečkan, M and Pospíšil, M and Rothos, VM and Susanto, H (2016) Travelling waves in nonlinear magneto-inductive lattices. Journal of Differential Equations, 260 (2). pp. 1717-1746. DOI https://doi.org/10.1016/j.jde.2015.09.043
Abstract
We consider a lattice equation modelling one-dimensional metamaterials formed by a discrete array of nonlinear resonators. We focus on periodic travelling waves due to the presence of a periodic force. The existence and uniqueness results of periodic travelling waves of the system are presented. Our analytical results are found to be in good agreement with direct numerical computations.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Travelling wave; Lattice wave; Forced magneto-inductive lattice |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 24 May 2016 14:44 |
| Last Modified: | 04 Dec 2024 06:40 |
| URI: | http://repository.essex.ac.uk/id/eprint/16641 |