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Blinking adaptation for synchronizing a mobile agent network

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Abstract

We investigate the issue of synchronizing a blinking coupling mobile agent network through a blinking adaptation strategy, where each agent with blinking wave emission behavior not only adjusts its blinking period according to the local property of its neighbors, but also coordinates its blinking phase with those of neighboring agents. In leading the agents to blink orderly with a blinking period commensurate with the characteristic time of the dynamical oscillator, the presented blinking adaptation strategy works effectively in guaranteeing the synchronous motion of the considered network when the power density is large. In addition, the influence of the controlling parameter and moving velocity on network evolution is studied by assessing the convergence time.

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References

  • Arenas, A., Diaz-Guilera, A., Kurths, J., Moreno, Y., Zhou, C.S., 2008. Synchronization in complex networks. Phys. Rep., 469(3):93–153. [doi:10.1016/j.physrep.2008.09.002]

    Article  MathSciNet  Google Scholar 

  • Barabási, A.L., 2009. Scale-free networks: a decade and beyond. Science, 325(5939):412–413. [doi:10.1126/science.1173299]

    Article  MathSciNet  Google Scholar 

  • Belykh, I.V., Belykh, V.N., Hasler, M., 2004. Blinking model and synchronization in small-world networks with a time-varying coupling. Phys. D, 195(1–2):188–206. [doi:10.1016/j.physd.2004.03.013]

    Article  MathSciNet  MATH  Google Scholar 

  • Belykh, V.N., Belykh, I.V., Hasler, M., 2004. Connection graph stability method for synchronized coupled chaotic systems. Phys. D, 195(1–2):159–187. [doi:10.1016/j.physd.2004.03.012]

    Article  MathSciNet  MATH  Google Scholar 

  • Boccaletti, S., Kurths, J., Osipov, G., Valladares, D.L., Zhou, C.S., 2002. The synchronization of chaotic systems. Phys. Rep., 366(1–2):1–101. [doi:10.1016/S0370-1573(02)00137-0]

    Article  MathSciNet  MATH  Google Scholar 

  • Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., Hwang, D.U., 2006. Complex networks: structure and dynamics. Phys. Rep., 424(4–5):175–308. [doi:10.1016/j. physrep.2005.10.009]

    Article  MathSciNet  Google Scholar 

  • Buscarino, A., Fortuna, L., Frasca, M., Rizzo, A., 2006. Dynamical network interactions in distributed control of robots. Chaos, 16(1):015116. [doi:10.1063/1.2166492]

    Article  Google Scholar 

  • Chen, M.Y., 2007. Synchronization in time-varying networks: a matrix measure approach. Phys. Rev. E, 76(1):016104. [doi:10.1103/PhysRevE.76.016104]

    Article  MathSciNet  Google Scholar 

  • Dano, S., Sorensen, P.G., Hynne, F., 1999. Sustained oscillations in living cells. Science, 402:320–322. [doi:10.1038/46329]

    Google Scholar 

  • Frasca, M., Buscarino, A., Rizzo, A., Fortuna, L., Boccaletti, S., 2006. Dynamical network model of infective mobile agents. Phys. Rev. E, 74(3):036110. [doi:10.1103/PhysRevE.74.036110]

    Article  Google Scholar 

  • Frasca, M., Buscarino, A., Rizzo, A., Fortuna, L., Boccaletti, S., 2008. Synchronization of moving chaotic agents. Phys. Rev. Lett., 100(4):044102. [doi:10.1103/PhysRevLett.100.044102]

    Article  Google Scholar 

  • Hart, J.K., Martinez, K., 2006. Environmental sensor networks: a revolution in the earth system science? Earth-Sci. Rev., 78(3–4):177–191. [doi:10.1016/j. earscirev.2006.05.001]

    Article  Google Scholar 

  • Lewis, S.M., Cratsley, C.K., 2008. Flash signal evolution, mate choice, and predation in fireflies. Ann. Rev. Entomol., 53:293–321. [doi:10.1146/annurev.ento.53.103106.093346]

    Article  Google Scholar 

  • Lu, J.H., Chen, G.R., 2005. A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Trans. Autom. Control, 50(6):841–846. [doi:10.1109/TAC.2005.849233]

    Article  MathSciNet  Google Scholar 

  • Pecora, L.M., Carroll, T.L., 1998. Master stability functions for synchronized coupled systems. Phys. Rev. Lett., 80(10):2109–2112. [doi:10.1103/PhysRevLett.80.2109]

    Article  Google Scholar 

  • Peng, L.Q., Zhao, Y., Tian, B.M., Zhang, J., Wang, B.H., Zhang, H.T., Zhou, T., 2009. Consensus of self-driven agents with avoidance of collisions. Phys. Rev. E, 79(2):026113. [doi:10.1103/PhysRevE.79.026113]

    Article  Google Scholar 

  • Qin, S.M., Zhang, G.Y., Chen, Y., 2009. Coevolution of game and network structure with adjustable linking. Phys. A, 388(23):4893–4900. [doi:10.1016/j.physa.2009.08.010]

    Article  Google Scholar 

  • Shi, H., Wang, L., Dai, H.P., Sun, Y.X., 2010. Synchronization in a power-driven moving agent network. Phys. A, 389(16):3094–3100. [doi:10.1016/j.physa.2010.03.042]

    Article  Google Scholar 

  • Skufca, J.D., Bollt, E.M., 2004. Communication and synchronization in disconnected networks with dynamic topology: moving neighborhood networks. Math. Biosci. Eng., 1(2):347–359.

    MathSciNet  MATH  Google Scholar 

  • Stilwell, D.J., Bollt, E.M., Roberson, D.G., 2006. Sufficient conditions for fast switching synchronization in timevarying network topologies. SIAM J. Appl. Dyn. Syst., 5(1):140–156. [doi:10.1137/050625229]

    Article  MathSciNet  MATH  Google Scholar 

  • Sundararaman, B., Buy, U., Kshemkalyani, A.D., 2005. Clock synchronization for wireless sensor networks: a survey. Ad Hoc Networks, 3(3):281–323. [doi:10.1016/j.adhoc.2005.01.002]

    Article  Google Scholar 

  • Wang, L., Sun, Y.X., 2009. Pinning synchronization of a mobile agent network. J. Stat. Mech. Theory Exp., 2009(11):P11005. [doi:10.1088/1742-5468/2009/11/P11005]

    Article  Google Scholar 

  • Wang, L., Shi, H., Sun, Y.X., 2010a. Induced synchronization of a mobile agent network by phase locking. Phys. Rev. E, 82(4):046222. [doi:10.1103/PhysRevE.82.046222]

    Article  Google Scholar 

  • Wang, L., Shi, H., Sun, Y.X., 2010b. Power adaptation for a mobile agent network. EuroPhys. Lett., 90(1):10001. [doi:10.1209/0295-5075/90/10001]

    Article  Google Scholar 

  • Wen, G., Wang, Q.G., Lin, C., Li, G.Y., Han, X., 2007. Chaos synchronization via multivariable PID control. Int. J. Bifurc. Chaos, 17(5):1753–1758. [doi:10.1142/S0218127407018051]

    Article  MathSciNet  MATH  Google Scholar 

  • Wu, X.Q., 2008. Synchronization-based topology identification of weighted general complex dynamical networks with time-varying coupling delay. Phys. A, 387(4):997–1008. [doi:10.1016/j.physa.2007.10.030]

    Article  Google Scholar 

  • Zhang, X.S., Chen, T., Zheng, J., Li, H., 2010. Proactive worm propagation modeling and analysis in unstructured peer-to-peer networks. J. Zhejiang Univ.-Sci. C (Comput. & Electron.), 11(2):119–129. [doi:10.1631/jzus.C0910488]

    Article  Google Scholar 

  • Zhou, C.S., Kurths, J., 2006. Dynamical weights and enhanced synchronizability in adaptive complex networks. Phys. Rev. Lett., 96(16):164102. [doi:10.1103/PhysRevLett.96.164102]

    Article  Google Scholar 

  • Zhu, J.F., Zhao, M., Yu, W.W., Zhou, C.S., Wang, B.H., 2010. Better synchronizability in generalized adaptive networks. Phys. Rev. E, 81(2):026201. [doi:10.1103/PhysRevE.81.026201]

    Article  Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, 310027, China

    Huan Shi, Hua-ping Dai & You-xian Sun

Authors
  1. Huan Shi
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  2. Hua-ping Dai
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  3. You-xian Sun
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Corresponding author

Correspondence to Hua-ping Dai.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 60736021, 61004106, and U0735003) and the National High-Tech R & D Program (863) of China (No. 2009AA04Z154)

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Shi, H., Dai, Hp. & Sun, Yx. Blinking adaptation for synchronizing a mobile agent network. J. Zhejiang Univ. - Sci. C 12, 658–666 (2011). https://doi.org/10.1631/jzus.C1000338

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  • DOI: https://doi.org/10.1631/jzus.C1000338

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