| dc.contributor.author | Wasike, AAM | |
| dc.date.accessioned | 2013-07-09T09:52:50Z | |
| dc.date.available | 2013-07-09T09:52:50Z | |
| dc.date.issued | 2003 | |
| dc.identifier.citation | Wasike, A. A. (2003). Synchronization and oscillator death in diffusively coupled lattice oscillators. Int. J. Math. Sci, 2, 67-82. | en |
| dc.identifier.uri | http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/46666 | |
| dc.description.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 | en |
| dc.language.iso | en | en |
| dc.publisher | University of Nairobi. | en |
| dc.subject | Lattice Differential Equations | en |
| dc.subject | Bravais Lattice | en |
| dc.subject | Dynchronization and Oscillator Death | en |
| dc.title | Synchronization and oscillator death in diffusively coupled lattice oscillators | en |
| dc.type | Article | en |
| local.publisher | School of Mathematics. | en |
