基于关联维数非线性混沌判据的替代数据方法

The Identification of Nonlinearity and Chaos Using Surrogate-Data Technique Based on Correlation Dimension

利用基于关联维数的相位随机化的替代数据法,给出了对船舶运动惯导实测时间序列进行非线性判定和混沌判定的方法。计算结果表明船舶运动纵摇和横摇时间序列中含有非线性成份,指出船舶运动的建模和预报须用非线性时间序列的原因,研究了使用混沌时间序列 S 判据对船舶运动进行混沌判定的方法,为研究船舶运动提供了一种试验验证的思路。

In this paper surrogate-data method of phase-randomized based on correlation dimension is proposed to identify the nonlinearity and chaos of data obtained by ship inertial navigation system.The result show that there existc nonlinear factor in ship pitching and rolling.The paper indicates the reason of using nonlinear time series in ship modeling and prediction.The studies of the S-criterion of chaos in signals of ship provide a new way for ship movement research.