You can separate multiple animations with a , and set a delay on the second one if needed:
-webkit-animation: shrink 2s ease-out, pulsate 4s 2s infinite ease-in-out;
2s in the second animation is the delay
Since Chrome 43 and Safari 9/9.2, the -webkit- prefix is only needed for Blackberry and UC (Android) browser. So the new correct syntax would be
animation: shrink 2s ease-out, pulsate 4s 2s infinite ease-in-out;