Hmmm I think I read somewhere that if the grass patch sorta shines it's more likely to be a shiny pokemon/rare pokemon. You can see some of the twinkle a bit. The shaking patches are where you should be going as well when you use the radar.
Also, if you defeat or capture one of the shaking-patch pokemon, it will continue to 'pokeradar' until you meet a different pokemon from the one you encountered on the first shake. Does this help? xD