# Synchronization of Phase Oscillators on the Hierarchical Lattice

@article{Garlaschelli2018SynchronizationOP, title={Synchronization of Phase Oscillators on the Hierarchical Lattice}, author={Diego Garlaschelli and Frank den Hollander and Janusz M. Meylahn and Benthen Zeegers}, journal={Journal of Statistical Physics}, year={2018}, volume={174}, pages={188-218} }

Synchronization of neurons forming a network with a hierarchical structure is essential for the brain to be able to function optimally. In this paper we study synchronization of phase oscillators on the most basic example of such a network, namely, the hierarchical lattice. Each site of the lattice carries an oscillator that is subject to noise. Pairs of oscillators interact with each other at a strength that depends on their hierarchical distance, modulated by a sequence of interaction…

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