sway

nouns

controlling influence
is a type of (narrower)
possession of controlling influence
"the deterrent power of nuclear weapons"; "the power of his love saved her"; "his powerfulness was concealed by a gentle facade"
pitching dangerously to one side

verbs

move back and forth or sideways
"the ship was rocking"; "the tall building swayed"; "She rocked back and forth on her feet"
move or walk in a swinging or swaying manner
"He swung back"
win approval or support for
"Carry all before one"; "His speech did not sway the voters"
cause to move back and forth
"rock the cradle"; "rock the baby"; "the wind swayed the trees gently"