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Flocking Effects of the Stochastic Cucker-Smale System with Noise

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Abstract

In this paper, the flocking behavior of a Cucker-Smale model with a leader and noise is studied in a finite time. The authors present a Cucker-Smale system with two nonlinear controls for a complex network with stochastic synchronization in probability. Based on the finite-time stability theory of stochastic differential equations, the sufficient conditions for the flocking of stochastic systems in a finite time are obtained by using the Lyapunov function method. Finally, the numerical simulation of the particle system is carried out for the leader and noise, and the correctness of the results is verified.

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Authors and Affiliations

  1. School of Mathematical Sciences, Harbin Engineering University, Harbin, 150001, China

    Ning Han, Bin Ge & Lin Li

Authors
  1. Ning Han
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  2. Bin Ge
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  3. Lin Li
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Corresponding author

Correspondence to Bin Ge.

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The authors declare no conflict of interest.

Additional information

This research was supported by the Natural Science Foundation of Heilongjiang Province of China under Grant No. LH2023A007, the National Natural Science Foundation of China under Grant No. 11201095, the Fundamental Research Funds for the Central Universities under Grant Nos. 3072022TS2402 and 3072024GH2402, the Postdoctoral Research Startup Foundation of Heilongjiang under Grant No. LBH-Q14044 and the Science Research Funds for Overseas Returned Chinese Scholars of Heilongjiang Province under Grant No. LC201502.

This paper was recommended for publication by Editor WANG Lin.

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Cite this article

Han, N., Ge, B. & Li, L. Flocking Effects of the Stochastic Cucker-Smale System with Noise. J Syst Sci Complex 37, 1978–1994 (2024). https://doi.org/10.1007/s11424-024-2477-9

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  • DOI: https://doi.org/10.1007/s11424-024-2477-9

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