Open AccessDynamic properties of VDP-CPG model in rhythmic movement with delay
Author(s) -
Li Qin Liu,
Chunrui Zhang
Publication year - 2020
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2020181
Subject(s) - central pattern generator , rhythm , van der pol oscillator , coupling (piping) , control theory (sociology) , cpg site , movement (music) , generator (circuit theory) , pace , mathematics , physics , computer science , topology (electrical circuits) , combinatorics , power (physics) , engineering , biology , nonlinear system , acoustics , quantum mechanics , artificial intelligence , gene expression , dna methylation , biochemistry , control (management) , mechanical engineering , gene , astronomy
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.