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.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol8iss1pp67-75
- Journal
- Sultan Qaboos University Journal for Science, 8(1), 67
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Wasike, A. A. (2003). Synchronization and Oscillator Death in Diffusively coupled lattice oscillators. Sultan Qaboos University Journal for Science, 8(1), 67. https://doi.org/10.24200/squjs.vol8iss1pp67-75
MLA 9
Wasike, Adu A.M. "Synchronization and Oscillator Death in Diffusively coupled lattice oscillators." Sultan Qaboos University Journal for Science, vol. 8, no. 1, 2003, pp. 67. https://doi.org/10.24200/squjs.vol8iss1pp67-75.
Chicago (author–date)
Wasike, Adu A.M. 2003. "Synchronization and Oscillator Death in Diffusively coupled lattice oscillators." Sultan Qaboos University Journal for Science 8 (1): 67. https://doi.org/10.24200/squjs.vol8iss1pp67-75.
Harvard
Wasike, A. A. (2003) 'Synchronization and Oscillator Death in Diffusively coupled lattice oscillators', Sultan Qaboos University Journal for Science, 8(1), pp. 67. doi:10.24200/squjs.vol8iss1pp67-75.
Vancouver
Wasike AA. Synchronization and Oscillator Death in Diffusively coupled lattice oscillators. Sultan Qaboos University Journal for Science. 2003;8(1):67. doi:10.24200/squjs.vol8iss1pp67-75
IEEE
A. A. Wasike, "Synchronization and Oscillator Death in Diffusively coupled lattice oscillators," Sultan Qaboos University Journal for Science, vol. 8, no. 1, pp. 67, 2003, doi: 10.24200/squjs.vol8iss1pp67-75.