Travelling waves in nonlinear magneto-inductive lattices. (English) Zbl 1341.34073
A lattice equation with nonlinearities is considered. This equation models the dynamics of electromagnetic waves in so-called magneto-inductive metamaterials. Existence and uniqueness of travelling periodic solutions of the considered equation are studied. These solutions are due to a periodic forcing. Some results on bifurcation and modulational stability of such solutions are also given. The presented analytical results are in good agreement with direct numerical computations obtained in the last section of the paper.
Reviewer: Panagiotis Ch. Tsamatos (Ioannina)
MSC:
| 34K13 | Periodic solutions to functional-differential equations |
| 34K05 | General theory of functional-differential equations |
| 34K18 | Bifurcation theory of functional-differential equations |
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