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Flocking analysis for a generalized Motsch-Tadmor model with piecewise interaction functions and processing delays

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Abstract

In this paper, a generalized Motsch-Tadmor model with piecewise interaction functions and fixed processing delays is investigated. According to functional differential equation theory and correlation properties of the stochastic matrix, we obtained sufficient conditions for the system achieving flocking, including an upper bound of the time delay parameter. When the parameter is less than the upper bound, the system achieves asymptotic flocking under appropriate assumptions.

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Authors and Affiliations

  1. College of Liberal Arts and Science, National University of Defense Technology, Changsha, 410073, P. R. China

    Yipeng Chen, Yicheng Liu & Xiao Wang

Authors
  1. Yipeng Chen
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  2. Yicheng Liu
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  3. Xiao Wang
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Corresponding author

Correspondence to Yipeng Chen.

Additional information

This work was supported by the National Natural Science Foundation of P. R. China (No. 11671011) and Hunan Provincial Innovation Foundation for Postgraduate (CN) (No. CX20200011).

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Chen, Y., Liu, Y. & Wang, X. Flocking analysis for a generalized Motsch-Tadmor model with piecewise interaction functions and processing delays. Appl Math 68, 51–73 (2023). https://doi.org/10.21136/AM.2022.0219-21

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  • DOI: https://doi.org/10.21136/AM.2022.0219-21

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