Synchronization of Phase Oscillators on the Hierarchical Lattice

  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},
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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  • Physics
  • 2019
Collective Behavior in Dynamics on Networks This dissertation addresses three problems concerning collective behavior in dynamics on networks: coupling in a heterogeneous population of oscillators

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(2 + 1) [XTpXpH12, CTH11]. + [Zuc11b]. 0 [Fed17]. 1 [BELP15, CAS11, Cor16, Fed17, GDL10, GBL16, Hau16, JV19, KT12, KM19c, Li19, MN14b, Nak17, Pal11, Pan14, RT14, RBS16b, RY12, SS18c, Sug10, dOP18]. 1

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