Abstract
We study collective behavior of locally coupled limit-cycle oscillators with scattered intrinsic frequencies on [Formula presented]-dimensional lattices. A linear analysis shows that the system should always be desynchronized up to [Formula presented]. On the other hand, numerical investigation for [Formula presented] and [Formula presented] reveals the emergence of the synchronized (ordered) phase via a continuous transition from the fully random desynchronized phase. This demonstrates that the lower critical dimension for the phase synchronization in this system is [Formula presented].
| Original language | English |
|---|---|
| Pages (from-to) | 4 |
| Number of pages | 1 |
| Journal | Physical Review E |
| Volume | 70 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2004 |
Quacquarelli Symonds(QS) Subject Topics
- Mathematics
- Statistics & Operational Research
- Data Science
- Physics & Astronomy
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