That's not the easiest part of substance designer

Fx-maps basically draw patterns, you can imagine that each pattern is drawn on a quad. You can then adjust the color, position, size, rotation of each quad using functions.
In the case of the looping noises, I created a function that makes the pattern move in circles, you can use the Cartesian node for that (first input is the radius, second is the angle [0, 2pi]). I've attached a simple example. If you want to animate this, just replace the constant for the radius by $time.
Depending on the radius and the time it takes to the pattern to make a full turn, you can adjust the speed and the loop duration.
If you open the noises I made, the "EllipseAnimation" function contains everything you need (or you can scratch your head and try to redo it if you want

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Ellipse animation uses the Ellipse function, it's in case you want to simulate a directional movement. In this case the pattern will move in a direction, fade out, go back to initial position, fade in.