"Wobbly" is when the Pokemon starts wobbling in its place with stars coming out of its head. During that time, the Pokemon is unable to act, and if you knock it out in that time period, you will be guaranteed a capture. It is caused by scoring a critical hit.
My main wobbler at this point are Focus Energy/Shadow Claw Gutsy 818 Nidorina. Despite most things being stronger than her power bracket, she's still keeping up (though difficult at times) and doing her job. I haven't ran into another Gutsy mon with Focus Energy + spammy/high crit move though :(.
Alright I've gotten to rank 35 and caught Kyogre and Groudon along the way. Both mons' power appear to be much higher than their group. I typically run into Pokemon with 900-1100 power and Kyogre and Groudon came out with 1269 and 1242, respectively (although my Groudon's HP is higher). Also Precipice Blades is hilariously broken ^_^. Hoping both of them can carry me through challenges to come, esp since I spent 5 Diamonds for the Red Orb. Kyogre seems a tad lackluster because Origin Pulse is a little slow, though.