Fečkan, M and Pospíšil, M and Susanto, H (2017) Bifurcation of travelling waves in implicit nonlinear lattices: applications in metamaterials. Applicable Analysis, 96 (4). pp. 578-589. DOI https://doi.org/10.1080/00036811.2016.1145673
Fečkan, M and Pospíšil, M and Susanto, H (2017) Bifurcation of travelling waves in implicit nonlinear lattices: applications in metamaterials. Applicable Analysis, 96 (4). pp. 578-589. DOI https://doi.org/10.1080/00036811.2016.1145673
Fečkan, M and Pospíšil, M and Susanto, H (2017) Bifurcation of travelling waves in implicit nonlinear lattices: applications in metamaterials. Applicable Analysis, 96 (4). pp. 578-589. DOI https://doi.org/10.1080/00036811.2016.1145673
Abstract
We consider implicit nonlinear lattice equations modelling one-dimensional metamaterials formed by a discrete array of nonlinear split-ring resonators. We study the existence and bifurcation of localised excitations and use the results to prove the existence of periodic travelling waves in the presence of small damping and travelling drive. Two different systems are considered, with each of them admitting either homoclinic or heteroclinic solutions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Lattices; metamaterials; periodic and localised solutions |
| 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: | 20 Nov 2016 11:59 |
| Last Modified: | 05 Dec 2024 16:44 |
| URI: | http://repository.essex.ac.uk/id/eprint/18101 |