As I start my car when cold, the engine is too rough, there are no revolutions and it produces some small explosions. After 5 seconds or so, it suddenly accelerates and then comes back to idle speed. Which electronic feature might be causing this failure?
You should check the pump's pressure when starting the engine. If it is low, that might be what is causing your vehicle's explosions. And talking about accelerating and going back to idle speed, that is absolutely ordinary.