The phrase "synonyms of swaying" refers to words that have similar meanings to "swaying". "Swaying" typically means moving gently from side to side or back and forth. Some synonyms for it could be swinging, rocking, wavering, oscillating.
"Swinging" implies a more energetic and regular back-and-forth movement, like a pendulum. For example, "The branches were swinging in the wind."
"Rocking" often suggests a gentle, rhythmic movement back and forth, as in "The cradle was rocking."
"Wavering" can refer to an unsteady or indecisive movement, and it can also be used in a figurative sense to mean being indecisive in one's opinions or actions. For instance, "His resolve was wavering."
"Oscillating" is a more technical term that usually describes a regular back-and-forth movement between two points. For example, "The pendulum is oscillating."
In conclusion, these synonyms of "swaying" offer different nuances and can be used in various contexts to describe different types of gentle movements.