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Synchronization and identification of time-variant network composed of various clusters with different topologies and node numbers

  • Regular Article – Nonlinear Dynamics
  • Published:
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Abstract

An efficient control and identification technique is proposed in this work to synchronize the time-variant network composed of various clusters with different topologies and node numbers and to identify the unknown parameters in variable equations. Different kinds of chaotic systems containing unknown parameters, including quantum Dicke, Jaynes–Cumming models and Nd:YAG lasers, are taken as the nodes to construct three clusters and a time-varying network in order to verify the effectiveness of the designed controller and identification law. The simulation results show that the complete synchronization of all nodes within the network can be realized quickly and the unknown parameters are also accurately identified simultaneously even if topology of the network varies over time, indicating that the designed synchronization controller and the identification law for unknown parameters based on the Lyapunov stability theorem are universal and effective.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: All data include in this manuscript are available upon request by contacting with the first author. Email:904032639@qq.com.]

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Funding

This work is supported by the National Natural Science Foundation of China (11004092), the Foundation of Science and Technology Department of Liaoning Province, China (201602455), and the Foundation of Education Department of Liaoning Province, China (L201683665).

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Authors and Affiliations

  1. School of Physics and Electronic Technology, Liaoning Normal University, Dalian, 116029, People’s Republic of China

    Yanting Shi, Xiaoou Fan, Yonghui Lu, Chengren Li & Suyuan Bai

Authors
  1. Yanting Shi
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  2. Xiaoou Fan
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  3. Yonghui Lu
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  4. Chengren Li
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  5. Suyuan Bai
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Contributions

Yanting Shi and Chengren Li proposed the basic idea of synchronization and parameter identification of uncertain time-variant clustering network; Xiaoou Fan and Suyuan Bai wrote the main programs; Yanting Shi and Yonghui Lu checked the formula derivations and programs. All authors analyzed and discussed the simulations results. Yanting Shi and Chengren Li wrote the main manuscript text, and all authors have given approval to the final version of the manuscript.

Corresponding authors

Correspondence to Chengren Li or Suyuan Bai.

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Shi, Y., Fan, X., Lu, Y. et al. Synchronization and identification of time-variant network composed of various clusters with different topologies and node numbers. Eur. Phys. J. D 75, 251 (2021). https://doi.org/10.1140/epjd/s10053-021-00251-z

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  • DOI: https://doi.org/10.1140/epjd/s10053-021-00251-z

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