Reactive control based on Dynamical Systems Modulation (DSM) has emerged as a continuous approach for autonomous mobile robot (AMR) navigation, offering smooth and stable trajectories without requiring global map planning. This paper examines the use of a DSM framework for AMRs to avoid static and dynamic obstacles in complex environments. Simulation experiments using a differential-drive robot (the TurtleBot3 Burger mobile robot) demonstrate the capability of the proposed method to generate collision-free paths in cluttered environments while maintaining computational efficiency, without requiring replanning. Despite its advantages in terms of reactivity and smoothness, DSM-based navigation still faces limitations related to model dependency, parameter tuning, and the handling of concave obstacles. These findings highlight both challenges and opportunities for improving the conventional technique.