Rigorous Topological Computation of Global Dynamical Structures for Rhythmic Behaviors in Coupled Systems and Applications

Research Project Outline

The purpose of this research is to develop various mathematical methods, especially rigorous topological computation, for studying global dynamical structures in coupled systems, and to give better understandings of the mechanism of rhythmic behaviors in neural network models and models in the system bio-mechanics. Based on the theoretical analysis for rhythm adjustment mechanism of brain-body interaction, combined with experimental studies of model robots, we intend to lead our results to new technologies and applications for controlling various rhythmic behaviors of humans and animals.