Frontiers of Physics

, Volume 10, Issue 3, pp 343–350 | Cite as

Shuttle-run synchronization in mobile ad hoc networks

  • Sheng-Fei Ma
  • Hong-Jie Bi
  • Yong Zou
  • Zong-Hua Liu
  • Shu-Guang GuanEmail author
Research Article


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.


synchronization phase transition ad hoc network 


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Copyright information

© Higher Education Press and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Sheng-Fei Ma
    • 1
  • Hong-Jie Bi
    • 1
  • Yong Zou
    • 1
    • 2
  • Zong-Hua Liu
    • 1
    • 2
  • Shu-Guang Guan
    • 1
    • 2
    Email author
  1. 1.Department of PhysicsEast China Normal UniversityShanghaiChina
  2. 2.State Key Laboratory of Theoretical Physics, Institute of Theoretical PhysicsChinese Academy of SciencesBeijingChina

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