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Topology Identification of Time-Scales Complex Networks

Author

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  • Yong Pei

    (College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
    School of Intelligent Engineering, Jiangsu Vocational Institute of Commerce, Nanjing 211168, China)

  • Churong Chen

    (School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China
    Department of Mathematics, Center for Dynamics, Technische Universität, 01069 Dresden, Germany)

  • Dechang Pi

    (College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China)

Abstract

This paper studies a topology identification problem of complex networks with dynamics on different time scales. Using the adaptive synchronization method, some criteria for a successful estimation are obtained. In particular, by regulating the original network to synchronize with an auxiliary chaotic network, this work further explores a way to avoid the precondition of linear independence. When the adaptive controller fails to achieve the outer synchronization, an impulsive control method is used. In the end, we conclude with three numerical simulations. The results obtained in this paper generalize continuous, discrete with arbitrary time step size and mixed cases.

Suggested Citation

  • Yong Pei & Churong Chen & Dechang Pi, 2022. "Topology Identification of Time-Scales Complex Networks," Mathematics, MDPI, vol. 10(10), pages 1-14, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1755-:d:820648
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    References listed on IDEAS

    as
    1. Haipeng Peng & Lixiang Li & Jürgen Kurths & Shudong Li & Yixian Yang, 2013. "Topology Identification of Complex Network via Chaotic Ant Swarm Algorithm," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-5, October.
    2. Zhou, Jin & Lu, Jun-an, 2007. "Topology identification of weighted complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 481-491.
    3. Syed Ali, M. & Yogambigai, J., 2016. "Synchronization of complex dynamical networks with hybrid coupling delays on time scales by handling multitude Kronecker product terms," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 244-258.
    4. Quanxin Cheng & Jinde Cao, 2011. "Global Synchronization of Complex Networks with Discrete Time Delays on Time Scales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-19, July.
    Full references (including those not matched with items on IDEAS)

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