Background Animation morph effect

Hi guys, I was wondering what would be the best way to animate a somewhat abstract background image I designed in Illustrator (a colorful flux). The best outcome possible would be the effect that the flux was seemingly running, even altering the colours ou colour values to add the effect of light passing. I understand this may be complicated to do, so I would very much appreciate if you could give me specific effect names to search for or suggest easier ways of animating this type of background 🙂

Thank you!