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arXiv · 1511.01351

The new explanation of cluster synchronization in the generalized Kuramoto system

Guihua Tian·Songhua Hu·Shuquan Zhong
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Abstract

The cluster synchronization is a very important characteristic for the higher harmonic coupling Kuramoto system. A novel transformation is provided, and it gives cluster synchronization by the periodic properties of the density function. The periodic properties of the density function also make the cluster sections' boundaries barrier-like, which helps to explain the sensitiveness of cluster synchronization on the initial conditions of the oscillators. Detailed numerical studies confirm the theoretical predictions from this new view of the symmetry transformation. The work is very beneficial to the further study on cluster synchronization in various systems.

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Guihua Tian, Songhua Hu, Shuquan Zhong. 2015-10-31. The new explanation of cluster synchronization in the generalized Kuramoto system. https://arxiv.org/abs/1511.01351

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