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If there is a roulette system about, you can bet your boots that there will be a mirror system that is the exact opposite. Someone somewhere will have tried the system and it didn´t work. And some bright spark will have said "hang on a minute". If I do exactly the opposite, maybe it will work. And it is hard to fault the logic- anything is worth a test once.
We have already discussed the Fibonacci System, which is a negative progression system (where you increase your wager amount after a loss) that follows a Fibonacci Sequence (where each number in the sequence is the sum of the preceding 2 numbers).
The reverse Fibonacci still runs off a Fibonacci sequence, of course (an example would be 1, 1, 2, 3, 5, 8, 13 etc etc), but it is a positive progression system rather than a negative progression system, that is to say you increase your bets and move up the Fibonacci after you win.
Now you may have already worked out an important factor here- unless you win time and time again, there will come a point where you will lose on your run, so you need to have a clear money management system in your back pocket as to when you are going to pull out of the sequence. You can either set this as a profit figure (or stop loss), or you can set a limit on the number of wins you actually think you will achieve in a row. Don´t just go blindly up the sequence because you will lose at some point. When we play this system, we tend to vary it between 2 and 4, depending on how we think our luck is running.
If you lose, you´ll need to "reboot" the stsrem, and come back down to your iniital bet (in this case 1). The idea is to accelerate profits on a winning streaks (albeit at a less aggressive pace than a Reverse Martingale). The beauty of the Fibonacci over the Reverse Martingale, is that in the latter you wipe out all of your profits if you mis-time your winning streak. On the Fibonacci, you at least bank some profit.
There is another variant, in which you come back a number of steps, instead of coming all the way back to your initial bet, if you lose.
So, for example in a Reverse Fibonnaci with 1 drop, you would come back 1 place on the sequence after a loss. In a Reverse fibonacci with 3 drop, you woukld come back 3 places on the Fibonacci sequence if you lost.