关键词: central pattern generator (CPG), gait movement, rhythmic movement, cerebral cortex signal, conversion function

Abstract: In this paper, we study singular perturbation problems of some semi-linear second order elliptic equations with nonlinear boundary value conditions: where ε is a small positive parameter and u/ l is a directional derivative, which lies on an oblique vector (x,ε). We have given a construction of the asymptotic solutions and proof of their asymptotic correctness, which is based on the principle of contraction mapping.

Key words: central pattern generator (CPG), gait movement, rhythmic movement, cerebral cortex signal, conversion function