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Outer synchronization between two nonidentical networks with circumstance noise

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  • Wang, Guanjun
  • Cao, Jinde
  • Lu, Jianquan

Abstract

This paper regards the outer synchronization between two delay-coupled complex dynamical networks with nonidentical topological structures and a noise perturbation. Considering one network as the drive network and the other one as the response network, the drive–response system achieves synchronous states through a suitably designed adaptive controller. The stochastic LaSalle invariance principle is employed to theoretically prove the almost sure synchronization between two networks. Finally, two numerical examples are examined in order to illustrate the proposed synchronization scheme.

Suggested Citation

  • Wang, Guanjun & Cao, Jinde & Lu, Jianquan, 2010. "Outer synchronization between two nonidentical networks with circumstance noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1480-1488.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:7:p:1480-1488
    DOI: 10.1016/j.physa.2009.12.014
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    References listed on IDEAS

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    1. Li, Chunguang & Chen, Guanrong, 2004. "Synchronization in general complex dynamical networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 263-278.
    2. Goldobin, D.S. & Pikovsky, A.S., 2005. "Synchronization of self-sustained oscillators by common white noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 126-132.
    3. Tang, Hongwu & Chen, Liang & Lu, Jun-an & Tse, Chi K., 2008. "Adaptive synchronization between two complex networks with nonidentical topological structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5623-5630.
    4. Lu, Jianquan & Ho, Daniel W.C., 2008. "Local and global synchronization in general complex dynamical networks with delay coupling," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1497-1510.
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    Cited by:

    1. Wang, Jian-an & Ma, Xiaohui & Wen, Xinyu & Sun, Qianlai, 2016. "Pinning lag synchronization of drive–response complex networks via intermittent control with two different switched periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 278-287.
    2. Gequn, Liu & Zhiguo, Zhan & Knowles, Gareth, 2015. "Design of inner coupling matrix for robustly self-synchronizing networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 440(C), pages 68-80.
    3. Quan Xu & Shengxian Zhuang & Dan Hu & Yingfeng Zeng & Jian Xiao, 2014. "Generalized Mutual Synchronization between Two Controlled Interdependent Networks," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Li, Wang & Zhao, Lingzhi & Shi, Hongjun & Zhao, Donghua & Sun, Yongzheng, 2021. "Realizing generalized outer synchronization of complex dynamical networks with stochastically adaptive coupling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 379-390.
    5. Jin, Yunguo & Zhong, Shouming, 2015. "Function projective synchronization in complex networks with switching topology and stochastic effects," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 730-740.
    6. Meng Xiao & Weigang Sun & Fangyue Chen, 2013. "Synchronization between Two Discrete‐Time Networks with Mutual Couplings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    7. Yi Liang & Yunyun Deng & Chuan Zhang, 2023. "Outer Synchronization of Two Muti-Layer Dynamical Complex Networks with Intermittent Pinning Control," Mathematics, MDPI, vol. 11(16), pages 1-15, August.
    8. Geng, Liang & Xiao, Renbin, 2017. "Outer synchronization and parameter identification approach to the resilient recovery of supply network with uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 407-421.

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