Proper term for my investment strategy?

I've bounced around a few investment strategies over the years. The one I have settled upon is the one I will likely stick with, as you can, at a moments notice (after some spreadsheeting) see where the exact state of your retirement is. What I don't know is the name of it (if it has one) and I'd like to know if there is a formal name for it so I can read up on strategies specifically related to it.

Namely, the strategy is to buy a dividend stock - any will do. I particularly like the monthly dividend stocks because there is a 'reward' every month, and it keeps me active in my investments. So you buy your stock, and this is Generation 1. When it pays a dividend, you buy more stock with the dividends. Those stocks are Generation 2. The dividends from the Generation 2 stocks are what you live on in retirement. This is Generation 3, and I personally call it 3rd Generation investing.Ideally, while you are still working, you throw those 3rd generation earnings into Dividend Kings or Aristocrats (aka DK/DA) for the long term stability, and let them grow there, which adds to your pot. Eventually you move out of the high yields into the safety and stability of DK and DA for stable retirement income.

An additional factor I really like is that the acct is always growing due to the re-investment of initial dividends, thus it is readily adapted to a trust that outlives you. And, you can see at a glance how much you would have per month in dividend income were you to retire at this minute.

But, what I don't know is the formal financial world term for this strategy.

Any help is thanks!