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Shuttle-run synchronization in mobile ad hoc networks |
Sheng-Fei Ma1,Hong-Jie Bi1,Yong Zou1,2,Zong-Hua Liu1,2,Shu-Guang Guan1,2,*( ) |
1. Department of Physics, East China Normal University, Shanghai 200241, China
2. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China |
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Abstract In this work, we study the collective dynamics of phase oscillators in a mobile ad hoc network whose topology changes dynamically. As the network size or the communication radius of individual oscillators increases, the topology of the ad hoc network first undergoes percolation, forming a giant cluster, and then gradually achieves global connectivity. It is shown that oscillator mobility generally enhances the coherence in such networks. Interestingly, we find a new type of phase synchronization/clustering, in which the phases of the oscillators are distributed in a certain narrow range, while the instantaneous frequencies change signs frequently, leading to shuttle-run-like motion of the oscillators in phase space. We conduct a theoretical analysis to explain the mechanism of this synchronization and obtain the critical transition point.
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| Keywords
synchronization
phase transition
ad hoc network
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Corresponding Author(s):
Shu-Guang Guan
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Issue Date: 11 June 2015
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