Topological signature of deterministic chaos in short nonstationary signals from an optical parametric oscillator

Axelle Amon (1) , Marc Lefranc (1)

1 PhLAM - Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523

Although deterministic chaos has been predicted to occur in the triply resonant optical parametric oscillator (TROPO) fifteen years ago, experimental evidence of chaotic behavior in this system has been lacking so far, in marked contrast with most nonlinear systems, where chaos has been actively tracked and found. This situation is probably linked to the high sensitivity of the TROPO to perturbations, which adversely affects stationary operation at high power. We report the experimental observation in this system of a burst of irregular behavior of duration 80 microseconds. Although the system is highly nonstationary over this time interval, a topological analysis allows us to extract a clearcut signature of deterministic chaos from a time series segment of only 9 base cycles (3 microseconds). This result suggests that nonstationarity is not necessarily an obstacle to the characterization of chaos.

Mots clés: chaos; topological analysis; knots; entropy; optical parametric oscillator; braids; nonstationary

Domaines: Dynamique Chaotique [nlin.CD]; Optique [physics.optics]

Axelle Amon, Marc Lefranc. Topological signature of deterministic chaos in short nonstationary signals from an optical parametric oscillator. Physical Review Letters, 2004, 92, pp.94101. ⟨hal-00001021v2⟩