Abstract
We consider the synchronization and persistence of a system of identical lattice oscillators that are diffusively coupled to their nearest neighbours. Each subsystem has a compact global attractor. This is done in the framework of invariant manifold theory. Normal hyperbolicity and its persistence are applied to obtain general conditions for the stability and robustness of the synchronization manifold. AMS(MOS) Subject classifications: 37C80, 37D10.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol12iss1pp41-52
- Journal
- Sultan Qaboos University Journal for Science, 12(1), 41
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Wasike, A. A., & Rotich, T. (2007). Synchronization and persistence in Diffusively Coupled Lattice Oscillators. Sultan Qaboos University Journal for Science, 12(1), 41. https://doi.org/10.24200/squjs.vol12iss1pp41-52
MLA 9
Wasike, Adu A.M., and Titus Rotich. "Synchronization and persistence in Diffusively Coupled Lattice Oscillators." Sultan Qaboos University Journal for Science, vol. 12, no. 1, 2007, pp. 41. https://doi.org/10.24200/squjs.vol12iss1pp41-52.
Chicago (author–date)
Wasike, Adu A.M., and Titus Rotich. 2007. "Synchronization and persistence in Diffusively Coupled Lattice Oscillators." Sultan Qaboos University Journal for Science 12 (1): 41. https://doi.org/10.24200/squjs.vol12iss1pp41-52.
Harvard
Wasike, A. A. and Rotich, T. (2007) 'Synchronization and persistence in Diffusively Coupled Lattice Oscillators', Sultan Qaboos University Journal for Science, 12(1), pp. 41. doi:10.24200/squjs.vol12iss1pp41-52.
Vancouver
Wasike AA, Rotich T. Synchronization and persistence in Diffusively Coupled Lattice Oscillators. Sultan Qaboos University Journal for Science. 2007;12(1):41. doi:10.24200/squjs.vol12iss1pp41-52
IEEE
A. A. Wasike, and T. Rotich, "Synchronization and persistence in Diffusively Coupled Lattice Oscillators," Sultan Qaboos University Journal for Science, vol. 12, no. 1, pp. 41, 2007, doi: 10.24200/squjs.vol12iss1pp41-52.