Bifurcation of travelling waves in implicit nonlinear lattices: applications in metamaterials

M. Fečkan; M. Pospíšil; H. Susanto

doi:10.1080/00036811.2016.1145673

Bifurcation of travelling waves in implicit nonlinear lattices: applications in metamaterials

M. Fečkan, M. Pospíšil, H. Susanto

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	British English
Pages (from-to)	578-589
Number of pages	12
Journal	Applicable Analysis
Volume	96
Issue number	4
DOIs	https://doi.org/10.1080/00036811.2016.1145673
State	Published - 12 Mar 2017

Keywords

Lattices
metamaterials
periodic and localised solutions

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10.1080/00036811.2016.1145673

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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.",

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AB - 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.

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KW - periodic and localised solutions

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Bifurcation of travelling waves in implicit nonlinear lattices: applications in metamaterials

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Keywords

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