verb
waver
WAY-ver/ˈweɪvər/
To move unsteadily rather than remain fixed.
Her hand wavers between the two paths as she hesitates.

Etymology
Middle English wayveren already described indecision. Its probable Scandinavian ancestry connects it with words for restlessness and hovering, linking an unsettled mind with the unsteady movement expressed by the verb’s physical senses.
In context
But I didn't waver, and I was persistent, and I eventually convinced one of them
More examples
- Her reflection wavers in the rippling water.
- The compass needle wavered before pointing north.
- The acrobat's outstretched hand is wavering as she struggles to balance.
Forms
waver · wavers · wavered · wavering