Synchronization,topology and oscillators

The synchronization of oscillators is defined step by step from the exemple of an electronic phase-locked loop. Besides, an injection-locked pulsed delay oscillator is built in which the signal is synchronized both in its frequency and its duration : the local behaviour (the carrier) is thus resonating with the global behaviour (the envelope). A model of the electronic wave function in terms of the fundamental groups of punctured Riemann surfaces is attempted. The structure of synchronization zones goes in favour of that hypothesis.