Is fluttering a word?

Floating is a word.

Floating and shaking specifically:

Floating and shaking, a Chinese idiom with the pinyin piāopiāoyáoyáo, meaning an object floating and shaking in the air in the wind, is from Dream of Red Mansions. 清-曹雪芹《红楼梦》第70回:"The kite floated and swayed, and only went backward, and was only the size of an egg for a while, and only a little bit of the black star was left in the eye of the show, and then the eye of the show didn't know that it had fallen there." As predicate, determiner, dative; referring to the swaying of an object.

Example sentence introduction:

1. Some were like inserting a number of fans around their bodies, and swam and fluttered; some had round eyes, their bodies were full of thorns, and they puffed up their breath as round as a leather ball. Snow, as light as smoke, as white as silver, fluttering, fluttering, sprinkling from the sky. A breeze blew by, and a leaf fell down, floating in the air, suddenly high and low, like singing and dancing in the air.

2, snowflakes fluttering down from the sky, like pulling up a white tent around, the earth immediately became silver. With the buzzing sound, another small plane took off. It flew, flew, dropped a small parachute, like a flower scattered in the sky. The petals floated with the wind, hitting the bushes and ending up in the river.

3. Outside the window, the willow flakes fluttered, as beautiful as pretty snowflakes. The clouds in the sky drifted and drifted, like a sheep. Snowflakes quietly drifted on all night. The snow froth fluttered in and out, then slowly lay down on the wet earth. Snow as light as smoke, as white as silver, drifting, fluttering, fluttering, drifting down from the sky.

4. It was snowing heavily again, but the snowflakes didn't get bigger with it, they got denser. As white as smoke, drifting, fluttering, sprinkling down from the sky. Like weaving a white net, the haze reflects white trees, white houses, white grass. A piece, a burst, like a slinky fairy, fluttering, fluttering, fluttering to the embrace of the earth, without a trace of resentment, without a bit of uncertainty.