山羊步态神经网络模型

IF 2.6 4区 工程技术 Q1 Mathematics Mathematical Biosciences and Engineering Pub Date : 2024-08-21 DOI:10.3934/mbe.2024302
Liqin Liu, Chunrui Zhang
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引用次数: 0

摘要

在本文中,我们的主要目标是研究带时间延迟的四足步态中央模式发生器(CPG)神经网络模型。首先,我们计算了该模型在中心流形上的法线形式、分叉方向以及分叉周期解的稳定性条件。其次,我们应用四足步态的 CPG 模型,通过信任区域反演算法获得了山羊在平地上的对角线小跑步态和在 18 度斜坡上的步行步态的参考模型。最后,我们进行了数值模拟以支持理论分析。
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A neural network model for goat gait.

In this paper, our main objective was to investigate the central pattern generator (CPG) neural network model for quadruped gait with time delay. First, we computed the normal form of the model on the center manifold, the bifurcation direction, and stability conditions of the bifurcating periodic solutions. Second, we applied the CPG model for quadruped gait to obtain reference models for goat's diagonal trotting gait on the flat ground and walking gait on the 18 degree slope through the trust region inversion algorithm. Finally, we performed numerical simulations to support theoretical analysis.

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来源期刊
Mathematical Biosciences and Engineering
Mathematical Biosciences and Engineering 工程技术-数学跨学科应用
CiteScore
3.90
自引率
7.70%
发文量
586
审稿时长
>12 weeks
期刊介绍: Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).
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