Synchronization and oscillator death in diffusively coupled lattice oscillators
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
Citation
Wasike, A. A. (2003). Synchronization and oscillator death in diffusively coupled lattice oscillators. Int. J. Math. Sci, 2, 67-82.Publisher
University of Nairobi. School of Mathematics.