Автор |
S H Strogatz |
Автор |
R E Mirollo |
Дата выпуска |
1988-07-07 |
dc.description |
The authors study mutual synchronisation in a model of interacting limit cycle oscillators with random intrinsic frequencies. It is shown rigorously that the model exhibits no long-range order in one dimension, and that in higher-dimensional lattices, large clusters of synchronised oscillators necessarily have a sponge-like structure. Surprisingly, the phase-locking behaviour of the mean-field model is completely different from that of any finite-dimensional lattice, indicating that d= infinity is the upper critical dimension for phase locking. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Collective synchronisation in lattices of nonlinear oscillators with randomness |
Тип |
lett |
DOI |
10.1088/0305-4470/21/13/005 |
Print ISSN |
0305-4470 |
Журнал |
Journal of Physics A: Mathematical and General |
Том |
21 |
Первая страница |
L699 |
Последняя страница |
L705 |
Аффилиация |
S H Strogatz; Dept. of Math., Boston Univ., MA, USA |
Аффилиация |
R E Mirollo; Dept. of Math., Boston Univ., MA, USA |
Выпуск |
13 |