How to make an SVG self-animate

My website home page http://ift.tt/2pP4ZoC contains an SVG made out of concentric circles. I would like to bring life to it.

Is it possible to make it self-animated with a random pattern? I would also like it to respond to hovering. The effect I am looking for is similar to this: https://www.youtube.com/watch?v=rNJw4AA0Gus.

Thanks for you help!

Jean-Simon