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.
Recommended Citation
Wasike, Adu A.M.
(2002)
Synchronization and Oscillator Death in Diffusively coupled lattice oscillators,
Sultan Qaboos University Journal For Science: Vol. 8:
Iss.
1, 67-75.
DOI: https://doi.org/10.24200/squjs.vol8iss1pp67-75
Available at:
https://squjs.squ.edu.om/squjs/vol8/iss1/1