Instituto de Física Interdisciplinar y Sistemas Complejos CSIC-UIB, Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain.
Opt Lett. 2011 Jun 15;36(12):2212-4. doi: 10.1364/OL.36.002212.
In the dynamics of optical systems, one commonly needs to cope with the problem of coexisting deterministic and stochastic components. The separation of these components is an important, although difficult, task. Often the time scales at which determinism and noise dominate the system's dynamics differ. In this Letter we propose to use information-theory-derived quantifiers, more precisely, permutation entropy and statistical complexity, to distinguish between the two behaviors. Based on experiments of a paradigmatic opto-electronic oscillator, we demonstrate that the time scales at which deterministic or noisy behavior dominate can be identified. Supporting numerical simulations prove the accuracy of this identification.
在光学系统的动力学中，人们通常需要处理同时存在确定性和随机性分量的问题。分离这些分量是一项重要但困难的任务。通常情况下，决定论和噪声主导系统动力学的时间尺度是不同的。在这封信中，我们提出使用信息论衍生的量化指标，更准确地说是排列熵和统计复杂度，来区分这两种行为。基于一个范例性的光电振荡器实验，我们证明了可以识别决定论或噪声行为主导的时间尺度。支持性的数值模拟证明了这种识别的准确性。
