Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 213-224 |
| Number of pages | 12 |
| Journal | Regular and Chaotic Dynamics |
| Volume | 11 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Jan 2006 |
Keywords
- Averaging
- Invariant torus
- Mode approximation
- Multisection semiconductor laser
- Normal form
- Stability
ASJC Scopus subject areas
- Mathematics (miscellaneous)
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