We consider dynamics of identical phase oscillators on spatially periodic hexagonal lattices. Existence and stability properties of different clustering patterns are discussed and illustrated by numerical examples. In the case of the 4×4-lattice, the clustering pattern enables the existence of a constant of motion and, hence, of a continuous family of temporally periodic solutions.
CITATION STYLE
Tomov, P., & Zaks, M. (2014). Phase Dynamics on small hexagonal lattices with repulsive coupling. In Communications in Computer and Information Science (Vol. 438, pp. 246–253). Springer Verlag. https://doi.org/10.1007/978-3-319-08672-9_30
Mendeley helps you to discover research relevant for your work.