one thing i could think about - if your patches you applied the fur to change the size while animating (like a very tiny stretch), then maya will distribute how many hair each patch has based on the size compared to biggest patch. so you should try to create a very pig plane, apply the same fur on it, and move it outside of the cam. if the fur still swims around, maybe your uvs are not laid out correctly, as fur uses the uvs as well.

hope that helps