A mathematical model of adaptation in rhythmic motion to environmental changes

This paper studies the adaptability of animals´ rhythmic movements to the changes in their environments. Rhythmic movements are usually modeled by a central pattern generator (CPG) using coupled oscillators. In our research, by analyzing the perturbed locomotion of a decerebrate cat, we propose a mathematical model for an adaptation mechanism. In this model, we take into account the environmental changes and give the adaptation rules so as to minimize the interaction between each oscillators. We also propose a general framework describing adaptive behaviors in rhythmic motion