样本熵
最大熵谱估计
统计物理学
熵(时间箭头)
小波
计算机科学
最大熵热力学
最大熵概率分布
非线性系统
雷诺熵
最大熵原理
数学
算法
模式识别(心理学)
人工智能
二元熵函数
物理
量子力学
作者
Mahmut Akıllı,Nazmi Yılmaz
标识
DOI:10.1140/epjp/s13360-021-02148-7
摘要
In this paper, we propose a new entropy calculation method to observe the temporal change of the entropy of dynamical systems. The proposed entropy calculation method is based on the windowed scalogram which has been introduced recently. Therefore, we name this new method “windowed scalogram entropy.” With this method, we can show the evolution of the Boltzmann–Gibbs–Shannon entropy over time using the probability distribution obtained by the normalized windowed scalogram. Before applying the method to time series with complex dynamics, we test the reliability of the method on some well-defined signals. Then, we employ seismic signals and pneumocardiogram signals to demonstrate the effectiveness of the method in the analysis of empirical data. We also compare the method with the windowed scale index and the sample entropy. It is observed that the windowed scalogram entropy is successful in analyzing the evolution of the entropy of seismic signals and pneumocardiogram signals over time. We understand that the windowed scalogram entropy can be used to observe the evolution of the entropy of nonlinear dynamical time series obtained in diverse fields.
科研通智能强力驱动
Strongly Powered by AbleSci AI