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Synchronization Analysis of Linearly Coupled Systems with Signal-Dependent Noises

Author

Listed:
  • Yanhao Ren

    (School of Mathematical Sciences, Fudan University, Shanghai 200433, China
    Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200433, China)

  • Qiang Luo

    (Institute of Science and Technology for Brain-Inspired Intelligence, Fudan University, Shanghai 200433, China)

  • Wenlian Lu

    (School of Mathematical Sciences, Fudan University, Shanghai 200433, China
    Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200433, China
    Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai 200433, China
    Key Laboratory of Mathematics for Nonlinear Science (Ministry of Education), Fudan University, Shanghai 200433, China)

Abstract

In this paper, we propose methods for analyzing the synchronization stability of stochastic linearly coupled differential equation systems, with signal-dependent noise perturbation. We consider signal-dependent noise, which is common in many fields, to discuss the stability of the synchronization manifold of multiagent systems and linearly coupled nonlinear dynamical systems under sufficient conditions. Numerical simulations are performed in the paper, and the results show the effectiveness of our theorems.

Suggested Citation

  • Yanhao Ren & Qiang Luo & Wenlian Lu, 2023. "Synchronization Analysis of Linearly Coupled Systems with Signal-Dependent Noises," Mathematics, MDPI, vol. 11(10), pages 1-15, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2328-:d:1148509
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    References listed on IDEAS

    as
    1. Xinlei Yi & Wenlian Lu & Tianping Chen, 2013. "Achieving Synchronization in Arrays of Coupled Differential Systems with Time-Varying Couplings," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-15, July.
    2. Qiang Luo & Tian Ge & Fabian Grabenhorst & Jianfeng Feng & Edmund T Rolls, 2013. "Attention-Dependent Modulation of Cortical Taste Circuits Revealed by Granger Causality with Signal-Dependent Noise," PLOS Computational Biology, Public Library of Science, vol. 9(10), pages 1-15, October.
    3. Zhang, Qing & Chen, Shihua & Hu, Yuanming & Wang, Changping, 2006. "Synchronizing the noise-perturbed unified chaotic system by sliding mode control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 317-324.
    4. Akgül, Akif & Rajagopal, Karthikeyan & Durdu, Ali & Pala, Muhammed Ali & Boyraz, Ömer Faruk & Yildiz, Mustafa Zahid, 2021. "A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    5. Sun, Yonghui & Cao, Jinde, 2007. "Adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 253-265.
    6. Christopher M. Harris & Daniel M. Wolpert, 1998. "Signal-dependent noise determines motor planning," Nature, Nature, vol. 394(6695), pages 780-784, August.
    7. Yi Zhao & Jianwen Feng & Jingyi Wang, 2012. "Cluster Synchronization for Linearly Coupled Complex Networks with Identical and Nonidentical Nodes," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-17, August.
    Full references (including those not matched with items on IDEAS)

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