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Collective phase synchronization in locally-coupled limit-cycle oscillators

H. Hong·Hyunggyu Park·M. Y. Choi
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Abstract

We study collective behavior of locally-coupled limit-cycle oscillators with scattered intrinsic frequencies on $d$-dimensional lattices. A linear analysis shows that the system should be always desynchronized up to $d=4$. On the other hand, numerical investigation for $d= 5$ and 6 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 $d_{l}=4$

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H. Hong, Hyunggyu Park, M. Y. Choi. 2003-12-23. Collective phase synchronization in locally-coupled limit-cycle oscillators. https://doi.org/10.1103/physreve.70.045204

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