This is a Geometry Nodes based, spline displacement setup, utilizing the Curl of the noise field generated by the standard "Noise Texture" node.

In this example it is presented as an audioreactive system, but the rotation and displacement can be driven by any value or keyframe.

All in all, it not only reacts to your audio, but does it meandering trough the gentle  spatial gradient of the curl field of the trusted Noise Texture node ! 

The setup comes with labels and explanations. (2 versions available)

Video demo here, here, here and here

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NOTE

-(Since it is a concept demonstration, it is kept as simple as possible.) The GeoNodes trees are kept clean for easier readability and have detailed explanations. Everything is built from the base. The point of these setups is to provide a base core of the concept, node from node, instead of contracting all into node groups with exposed settings, which makes everything harder to read and dissect.

You can embellish, refine as you wish based on the core or realize your own ideas.

-Read the text description, it has a lot of useful info !