We consider a mode approximation model for the longitudinal dynamics of a multisection semiconductor laser which represents a slow-fast system of ordinary differential equations for the electromagnetic field and the carrier densities. Under the condition that the number of active sections q coincides with the number of critical eigenvalues we introduce a normal form which admits to establish the existence of invariant tori. The case q = 2 is investigated in more detail where we also derive conditions for the stability of the quasiperiodic regime.
- Invariant torus
- Mode approximation
- Multisection semiconductor laser
- Normal form