[
    {
        "id": "osp-13549",
        "type": "article-journal",
        "title": "Synchronization and Oscillator Death in Diffusively coupled lattice oscillators",
        "author": [
            {
                "family": "Wasike",
                "given": "Adu A.M."
            }
        ],
        "URL": "https://omanscience.com/en/articles/synchronization-and-oscillator-death-in-diffusively-coupled-lattice-oscillators",
        "language": "en",
        "issued": {
            "date-parts": [
                [
                    2003
                ]
            ]
        },
        "container-title": "Sultan Qaboos University Journal for Science",
        "volume": "8",
        "issue": "1",
        "page": "67",
        "DOI": "10.24200/squjs.vol8iss1pp67-75",
        "publisher": "Sultan Qaboos University",
        "ISSN": "2308-3921",
        "abstract": "We consider the synchronization and cessation of oscillation of a positive even number of planar oscillators that are coupled to their nearest neighbours on one, two, and three dimensional integer lattices via a linear and symmetric diffusion-like path. Each oscillator has a unique periodic solution that is attracting. We show that for certain coupling strength there are both symmetric and antisymmetric synchronization that corresponds to symmetric and antisymmetric non-constant periodic solutions respectively. Symmetric synchronization persists for all coupling strengths while the antisymmetric case exists for only weak coupling strength and disappears to the origin after a certain coupling strength."
    }
]