Dragons of Atlantis is a Facebook game that can be played using several different strategies. Your strategy and play style should be based on how often you log on to the game and the amount of time you have to play. Generally, if you can't spend a couple hours on the game, you can log on and start researching something new in your science center and start upgrading one of your other buildings that will take a large chunk of time. This generally only takes a couple minutes and can reap great rewards down the road.
To be successful, you will have to spend more than a few minutes here and there on this game, but if you're like me, you'll go a couple days without more than 5 minutes of free time :)