Crawling infants and dynamical systems: mathematical models and applications to legged locomotion Rhythmic movements in animals, and especially locomotion, are controlled mainly by Central Pattern Generators (CPGs). These neural networks are responsible for the generation of complex rhythmic patterns and are often modeled as coupled oscillators. CPGs are becoming a very popular tool for the control of locomotion of legged robots, since their main advantages are their stability to perturbations (limit cycle behavior) and their synchronization capabilities that allow strong coupling with the robot and the environment. In this presentation, I will show our work done on CPG controllers during the RobotCUB project, which goal is to build a 2-year-old infant-like humanoid robot able to interact with its environment. First experimental results on infants crawling compared to other quadrupeds will be presented. Then i will show how mathematical models of CPGs can reproduce features of quadruped locomotion. It includes new, flexible, oscillator models, generic design of networks of coupled dynamical systems and automatic construction of limit cycles of arbitrary shape (with learning embedded in the dynamical system). Finally, results on several robots (from very stiff robots to ones with passive dynamics) will demonstrate how our CPGs adapt to the dynamics of the robots and emphasize the importance of sensory feedback during locomotion.