Abstract
When a laser system is studied, the time evolution of the light intensity emitted by the laser cavity is recorded. The phase portrait reconstructed from that time series never presents symmetry although the amplitude equations always generate phase portraits with symmetry properties. It is shown that the detuning between the normalized steady-state laser frequency and the molecular resonance frequency induces a continuous rotation symmetry. This equivariant dynamics is linked with the dynamics underlying the experimental observations of the light intensity through a system for which the symmetry properties are modded out.
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