Dynamic properties of VDP-CPG model in rhythmic movement with delay

被引：0
|
作者：
Liu L. [1 ]
Zhang C. [1 ]
机构：
[1] Department of Mathematics, Northeast Forestry University, Harbin
来源：
Mathematical Biosciences and Engineering | 2020年 / 17卷 / 04期
关键词：
Gait; Hopf bifurcation; Rhythmic movement; VDP-CPG;
D O I：
10.3934/MBE.2020181
中图分类号：
学科分类号：
摘要：
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. © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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页码：3190 / 3202
页数：12
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