Before revision:  Consequently, we derive the effective Hamilton equations that determine the optimal trajectories in the perceptual phase space, which minimize the sensory uncertainty. We also demonstrate their utility using a simple model with biological relevance to sensorimotor regulation processes such as motor reflex arcs or saccadic eye movement .
After revision:  To demonstrate the utility of our approach, we adopt a simple agent-based model and present a concrete numerical illustration of the brain performing recognition dynamics by integrating BM in neural phase space. Furthermore, we recapitulate the major theoretical architectures in the FEP by comparing our approach with the common state-space formulations .