Dibl�k, J and Fe?kan, M and Posp�?il, M and Rothos, VM and Susanto, H (2014) Travelling Waves in Nonlinear Magnetic Metamaterials. In: Localized Excitations in Nonlinear Complex Systems: Current State of the Art and Future Perspectives. Nonlinear Systems and Complexity . Springer, pp. 335-358. ISBN 9783319020563. Official URL: https://doi.org/10.1007/978-3-319-02057-0_17
Dibl�k, J and Fe?kan, M and Posp�?il, M and Rothos, VM and Susanto, H (2014) Travelling Waves in Nonlinear Magnetic Metamaterials. In: Localized Excitations in Nonlinear Complex Systems: Current State of the Art and Future Perspectives. Nonlinear Systems and Complexity . Springer, pp. 335-358. ISBN 9783319020563. Official URL: https://doi.org/10.1007/978-3-319-02057-0_17
Dibl�k, J and Fe?kan, M and Posp�?il, M and Rothos, VM and Susanto, H (2014) Travelling Waves in Nonlinear Magnetic Metamaterials. In: Localized Excitations in Nonlinear Complex Systems: Current State of the Art and Future Perspectives. Nonlinear Systems and Complexity . Springer, pp. 335-358. ISBN 9783319020563. Official URL: https://doi.org/10.1007/978-3-319-02057-0_17
Abstract
In this article, a model of one-dimensional metamaterial formed by a discrete array of nonlinear resonators is considered. The existence and uniqueness results of periodic and asymptotic travelling waves of the system are presented. The existence and the stability of asymptotic waves are also computed and discussed numerically.
| Item Type: | Book Section |
|---|---|
| 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 Jul 2015 12:03 |
| Last Modified: | 06 Dec 2024 01:09 |
| URI: | http://repository.essex.ac.uk/id/eprint/14202 |