一般化Boole 変換におけるLyapunov 指数の理論値を用いた レーザーカオスのカオス性評価

抄録

We estimated the Lyapunov exponent, which indicates chaoticity from a time series. In generalized Boole transformations, an analytic form of the Lyapunov exponent is obtained as a function of one parameter. We showed that if we add Gaussian noise, we cannot estimate the Lyapunov exponent using Rosenstein’s method, which we also apply to a time series of laser chaos.