Dynamic properties of VDP-CPG model in rhythmic movement with delay
In this paper, Van Der Pol (VDP) oscillators are used as the output signal of central pattern generator (CPG), and a VDP-CPG network system of quadruped with four primary gaits (walk, trot, pace and bound) is established. The existence conditions of Hopf bifurcations for VDP-CPG systems correspondin...
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2020-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2020181?viewType=HTML |
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doaj-efec4a70f0c245d8bdd93324143dadfa2021-07-28T01:39:56ZengAIMS PressMathematical Biosciences and Engineering1551-00182020-05-011743109320210.3934/mbe.2020181Dynamic properties of VDP-CPG model in rhythmic movement with delayLiqin Liu0Chunrui Zhang1Department of Mathematics, Northeast Forestry University, Harbin 150040, ChinaDepartment of Mathematics, Northeast Forestry University, Harbin 150040, ChinaIn this paper, Van Der Pol (VDP) oscillators are used as the output signal of central pattern generator (CPG), and a VDP-CPG network system of quadruped with four primary gaits (walk, trot, pace and bound) is established. The existence conditions of Hopf bifurcations for VDP-CPG systems corresponding to four primary gaits are given, and the coupling strength ranges between oscillators for four gaits are obtained. Numerical simulations are used to support theoretical analysis.https://www.aimspress.com/article/doi/10.3934/mbe.2020181?viewType=HTMLvdp-cpgrhythmic movementgaithopf bifurcation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Liqin Liu Chunrui Zhang |
| spellingShingle |
Liqin Liu Chunrui Zhang Dynamic properties of VDP-CPG model in rhythmic movement with delay Mathematical Biosciences and Engineering vdp-cpg rhythmic movement gait hopf bifurcation |
| author_facet |
Liqin Liu Chunrui Zhang |
| author_sort |
Liqin Liu |
| title |
Dynamic properties of VDP-CPG model in rhythmic movement with delay |
| title_short |
Dynamic properties of VDP-CPG model in rhythmic movement with delay |
| title_full |
Dynamic properties of VDP-CPG model in rhythmic movement with delay |
| title_fullStr |
Dynamic properties of VDP-CPG model in rhythmic movement with delay |
| title_full_unstemmed |
Dynamic properties of VDP-CPG model in rhythmic movement with delay |
| title_sort |
dynamic properties of vdp-cpg model in rhythmic movement with delay |
| publisher |
AIMS Press |
| series |
Mathematical Biosciences and Engineering |
| issn |
1551-0018 |
| publishDate |
2020-05-01 |
| description |
In this paper, Van Der Pol (VDP) oscillators are used as the output signal of central pattern generator (CPG), and a VDP-CPG network system of quadruped with four primary gaits (walk, trot, pace and bound) is established. The existence conditions of Hopf bifurcations for VDP-CPG systems corresponding to four primary gaits are given, and the coupling strength ranges between oscillators for four gaits are obtained. Numerical simulations are used to support theoretical analysis. |
| topic |
vdp-cpg rhythmic movement gait hopf bifurcation |
| url |
https://www.aimspress.com/article/doi/10.3934/mbe.2020181?viewType=HTML |
| work_keys_str_mv |
AT liqinliu dynamicpropertiesofvdpcpgmodelinrhythmicmovementwithdelay AT chunruizhang dynamicpropertiesofvdpcpgmodelinrhythmicmovementwithdelay |
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1721279204458233856 |