How can I set that device should vibrate if a push notification come to my application?
I just figured out one way to do this: if you want to phone to only vibrate on receipt of a push notification, you need to have a silent sound file in your application bundle, for example "silence.aif" ... if you specify that sound file in the APS notification, the iOS device will "play" the silence.aif from your application bundle, but since the sound is silence, there is nothing to hear. However the notification vibration is still triggered :-)