By very cold weather, when I try to start the engine a second time (after having driven 5 minutes), impossible, no noise, nothing. What is the problem? I have a Cube 2009.
Car batteries don't like the cold. The temperature affects the chemical process that creates the electricity. A weak battery, plus the constant drain by things such as the alarm and other electronics, tends to suck the life out of them. With older batteries, usually more than three years old, the acid in them can become weak and actually freeze. If it gets to that point, the battery will have to be replaced, as the cells inside will be damaged.
Starters are a very high power user. On a weakened battery, the charging system would not have had enough time to recharge it in five minutes. I would suggest getting the battery replaced, as a newer battery would probably have started the car, the second time.
There are devices that will help protect the battery, during cold weather. The battery warmer is an electric blanket for the battery. A must for northern climates, where the extreme low temps go on for months. My prefered method, is to use a battery tender. A small trickle charger that can be mounted and hardwired, or just placed under the hood, for those extra cold nights. The trickle charge is enough to keep the battery topped up and ready to go.