Originally Posted by AlmostTrick

It's not that difficult to understand. If you quickly push the bar left, that sets the bike up (even throws the bike!) to quickly turn right. You of course must then correct it or go down. This is how you make a quick maneuver. No matter who you are, or whether you realize the action or not. You can get there with decades of riding like you say you did, or you can discuss, analyze, and practice, and get there much sooner.