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 so...
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| Language: | English |
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AIMS Press
2024-08-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2024302 |
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| author | Liqin Liu Chunrui Zhang |
| author_facet | Liqin Liu Chunrui Zhang |
| author_sort | Liqin Liu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3266e8040e994a39938b980a73b8f793 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-3266e8040e994a39938b980a73b8f7932025-01-23T07:47:47ZengAIMS PressMathematical Biosciences and Engineering1551-00182024-08-012186898691410.3934/mbe.2024302A neural network model for goat gaitLiqin Liu0Chunrui Zhang1Department of Mathematics, Northeast Forestry University, Harbin 150040, ChinaDepartment of Mathematics, Northeast Forestry University, Harbin 150040, ChinaIn 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.https://www.aimspress.com/article/doi/10.3934/mbe.2024302time delay neural networkquadruped gait cpg modelhopf bifurcationgoat gait |
| spellingShingle | Liqin Liu Chunrui Zhang A neural network model for goat gait Mathematical Biosciences and Engineering time delay neural network quadruped gait cpg model hopf bifurcation goat gait |
| title | A neural network model for goat gait |
| title_full | A neural network model for goat gait |
| title_fullStr | A neural network model for goat gait |
| title_full_unstemmed | A neural network model for goat gait |
| title_short | A neural network model for goat gait |
| title_sort | neural network model for goat gait |
| topic | time delay neural network quadruped gait cpg model hopf bifurcation goat gait |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2024302 |
| work_keys_str_mv | AT liqinliu aneuralnetworkmodelforgoatgait AT chunruizhang aneuralnetworkmodelforgoatgait AT liqinliu neuralnetworkmodelforgoatgait AT chunruizhang neuralnetworkmodelforgoatgait |