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Shuttle-run synchronization in mobile ad hoc networks

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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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References

  1. C. E. Perkins, Ad Hoc Networking, New York: Addison-Wesley, 2000

    Google Scholar 

  2. T. Camp, J. Boleng, and V. Davies, A survey of mobility models for ad hoc network research, Wireless Commun. Mobile Comput. 2(5), 483 (2002)

    Article  Google Scholar 

  3. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D. U. Hwang, Complex networks: Structure and dynamics, Phys. Rep. 424(4–5), 175 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  4. S. Liu, Z. W. He, and M. Zhan, Firing rates of coupled noisy excitable elements, Front. Phys. 9(1), 120 (2014)

    Article  Google Scholar 

  5. Y. Zhang and W. H. Wan, States and transitions in mixed networks, Front. Phys. 9(4), 523 (2014)

    Article  MathSciNet  Google Scholar 

  6. P. Ke and Z. G. Zheng, Dynamics of rotator chain with dissipative boundary, Front. Phys. 9(4), 511 (2014)

    Article  Google Scholar 

  7. F. Sivrikaya and B. Yener, Time synchronization in sensor networks: A survey, IEEE Netw. 18(4), 45 (2004)

    Article  Google Scholar 

  8. C. Thiemann, M. Treiber, and A. Kesting, Longitudinal hopping in intervehicle communication: Theory and simulations on modeled and empirical trajectory data, Phys. Rev. E 78(3), 036102 (2008)

    Article  ADS  Google Scholar 

  9. Z. Liu, Effect of mobility in partially occupied complex networks, Phys. Rev. E 81(1), 016110 (2010)

    Article  ADS  Google Scholar 

  10. N. Fujiwara, J. Kurths, and A. Díaz-Guilera, Synchronization in networks of mobile oscillators, Phys. Rev. E 83(2), 025101 (2011) (R)

    Article  ADS  Google Scholar 

  11. M. Frasca, A. Buscarino, A. Rizzo, L. Fortuna, and S. Boccaletti, Synchronization of moving chaotic agents, Phys. Rev. Lett. 100(4), 044102 (2008)

    Article  ADS  Google Scholar 

  12. L. Wang, C. P. Zhu, and Z. M. Gu, Scaling of critical connectivity of mobile ad hoc networks, Phys. Rev. E 78(6), 066107 (2008)

    Article  ADS  Google Scholar 

  13. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence, New York: Springer, 1984

    Book  MATH  Google Scholar 

  14. S. H. Strogatz, From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators, Physica D 143, 1 (2000)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. W. Krause, I. Glauche, R. Sollacher, and M. Greiner, Impact of network structure on the capacity of wireless multihop ad hoc communication, Physica A 338(3–4), 633 (2004)

    Article  MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, East China Normal University, Shanghai, 200241, China

    Sheng-Fei Ma, Hong-Jie Bi, Yong Zou, Zong-Hua Liu & Shu-Guang Guan

  2. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China

    Yong Zou, Zong-Hua Liu & Shu-Guang Guan

Authors
  1. Sheng-Fei Ma
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  2. Hong-Jie Bi
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  3. Yong Zou
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  4. Zong-Hua Liu
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  5. Shu-Guang Guan
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Corresponding author

Correspondence to Shu-Guang Guan.

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These authors contributed equally.

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Ma, SF., Bi, HJ., Zou, Y. et al. Shuttle-run synchronization in mobile ad hoc networks. Front. Phys. 10, 343–350 (2015). https://doi.org/10.1007/s11467-015-0475-z

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  • DOI: https://doi.org/10.1007/s11467-015-0475-z

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