Action potentials travel down axons and distribute across multiple terminal branches, though high frequencies or branching geometry can occasionally lead to propagation failures at specific terminals.
The retrieved literature confirms that axons branch extensively and that action potentials propagate into multiple terminals, while also noting that propagation and energy distribution can be modulated or subject to failure at branch points under specific conditions (e.g., high frequencies). Therefore, the claim is supported by the neurophysiology literature on axonal branching.