I've had system combinations where it took anywhere from 0 - 45 minutes for the system to warm up. The only time I recall when my system didn't need to warm up was when I briefly had Class D amps. Currently, my system warms up after 2 or 3 songs. This means my system sounds "bad" once I turn it on, but after a few minutes, there's a remarkable improvement in sound. At initial turn on, the system is bright and mushy (yep, "mushy" is an audiophile term). Usually, I turn on my system and let it play some music while I go upstairs and wait for it to settle down.
What component contributes most to system warm up? Is it the amp? If so, why?