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S. H. Strogatz, “From kuramoto to crawford: exploring the onset of synchronization in populations of coupled oscillators,” Physica D: Nonlinear Phenomena, Vol. 143, No.1–4, pp. 1–20, 2000.

has been cited by the following article:

• TITLE: Linear Pulse-Coupled Oscillators Model¬—A New Approach for Time Synchronization in Wireless Sensor Networks

  AUTHORS: Zhulin An, Hongsong Zhu, Meilin Zhang, Chaonong Xu, Yongjun Xu, Xiaowei Li

  KEYWORDS: Synchronization, Biologically Inspired Algorithms, Pulse-Coupled Oscillators, Wireless Sensor Networks

  JOURNAL NAME: Wireless Sensor Network, Vol.2 No.2, March 12, 2010

  ABSTRACT: Mutual synchronization is a ubiquitous phenomenon that exists in various natural systems. The individual participants in this process can be modeled as oscillators, which interact by discrete pulses. In this paper, we analyze the synchronization condition of two- and multi-oscillators system, and propose a linear pulse-coupled oscillators model. We prove that the proposed model can achieve synchronization for almost all conditions. Numerical simulations are also included to investigate how different model parameters affect the synchronization. We also discuss the implementation of the model as a new approach for time synchronization in wireless sensor networks.