Some munzees, when capped, create new specials to cap. These are often called scatters (there is also a munzee specifically called a Scatter). They will land on greenies in a specific radius. These new munzees will last 2 hours or until capped. So after you cap these types of munzees, refresh your map and look to see where they landed (the "expiring special filter is great for this! This filter is a premium filter.) and head off to chase for more points and to earn badges. At this time, you can not cap scatter types on your own deploys, so if you see a grey "owned" icon on your expiring special filter, it's probably a scatter that landed on your own. The Air mystery actually deploys feathers that do not land on other munzees, so they are free to cap by anyone. Here is a little guide of munzees that scatter new specials. You can learn more about these different munzees by search the Munzee blog.
Many of these also attract mythological creatures. If a myth lands on your own host, you can cap it. It will then scatter as with a normal cap, but again, you will only be able to cap the scatters if they land on someone else's munzee. For a list of the mythological creatures and which munzees they are attracted to, see the Mythological Munzees page.