![Cover Image for System.Linq.Enumerable+EnumerablePartition`1[System.Char]](https://coverimages.igi-global.com/images/search-article.png)
Small planar travelling waves in two-dimensional networks of coupled oscillators
OAI: oai:purehost.bath.ac.uk:publications/e8c771b5-bb6d-476f-9014-ab25297dfd6f • DOI: https://doi.org/10.1080/14689360802541281
Abstract
The existence of several small planar travelling waves with arbitrary direction of propagation is shown for two-dimensional cubic networks of oscillators with linear nearest-neighbour coupling. The analysis is based on a spatial dynamics reformulation of the relevant advance-delay equation. Whereas important aspects of the analysis are discontinuous in the direction of travel, and continuity of the travelling wave is shown with respect to the direction.