Amon Axelle, Lefranc Marc
Laboratoire de Physique des Lasers, Atomes, Molécules, UMR CNRS 8523, Centre d'Etudes et de Recherches Lasers et Applications, Université des Sciences et Technologies de Lille, F-59655 Villeneuve d'Ascq, France.
Phys Rev Lett. 2004 Mar 5;92(9):094101. doi: 10.1103/PhysRevLett.92.094101.
Although deterministic chaos has been predicted to occur in the triply resonant optical parametric oscillator (TROPO) 15 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 micros. Although the system is highly nonstationary over this time interval, a topological analysis allows us to extract a clear-cut signature of deterministic chaos from a time series segment of only nine base cycles (3 micros). This result suggests that nonstationarity is not necessarily an obstacle to the characterization of chaos.
尽管早在15年前就预测到在三共振光学参量振荡器（TROPO）中会出现确定性混沌，但迄今为止，该系统中混沌行为的实验证据仍然缺失，这与大多数已被积极追踪并发现混沌的非线性系统形成了鲜明对比。这种情况可能与TROPO对微扰的高灵敏度有关，这对高功率下的稳定运行产生了不利影响。我们报告了在该系统中对持续时间为80微秒的一阵不规则行为的实验观测。尽管该系统在这个时间间隔内是高度非平稳的，但拓扑分析使我们能够从仅九个基波周期（3微秒）的时间序列段中提取出确定性混沌的清晰特征。这一结果表明，非平稳性不一定是表征混沌的障碍。
