¹wave

swing, wave, flourish, brandish, thrash mean to wield or cause to move to and fro or up and down. swing implies regular or uniform movement <swing the rope back and forth>. wave usually implies smooth or continuous motion <waving the flag>. flourish suggests vigorous, ostentatious, graceful movement <flourished the winning lottery ticket>. brandish implies threatening or menacing motion <brandishing a knife>. thrash suggests vigorous, abrupt, violent movement <an infant thrashing his arms about>.

swing, sway, oscillate, vibrate, fluctuate, waver, undulate mean to move from one direction to its opposite. swing implies a movement of something attached at one end or one side <the door suddenly swung open>. sway implies a slow swinging or teetering movement <trees swaying in the breeze>. oscillate stresses a usually regular alternation of direction <an oscillating fan>. vibrate suggests the rapid oscillation of an elastic body under stress or impact <the vibrating strings of a piano>. fluctuate suggests constant irregular changes of level, intensity, or value <fluctuating interest rates>. waver stresses irregular motion suggestive of reeling or tottering <the exhausted runner wavered before collapsing>. undulate suggests a gentle wavelike motion <an undulating sea of grass>.