Fractal dimension of quasi-periodic orbits. - Pengjian Shang; Karl Widder (Appl. Math. Lett., 2001)

Fractal nature of highway traffic data. - Pengjian Shang; Meng Wan; Santi Kama (Comput. Math. Appl., 2007)

Do self-similar sets with positive Lebesgue measure contain an interval? - Keqiang Dong; Pengjian Shang (Appl. Math. Lett., 2010)

Modeling Cross-Correlations of Traffic Flow. - Pengjian Shang; Keqiang Dong; Santi Kama (Int. J. Bifurc. Chaos, 2010)

Effect of linear and nonlinear filters on multifractal analysis. - Jing Wang; Pengjian Shang; Keqiang Dong (Appl. Math. Comput., 2013)

Compositional segmentation of time series in the financial markets. - Yi Yin; Pengjian Shang; Jianan Xia (Appl. Math. Comput., 2015)

Traffic signals analysis using qSDiff and qHDiff with surrogate data. - Mengjia Xu; Pengjian Shang; Jianan Xia (Commun. Nonlinear Sci. Numer. Simul., 2015)

Forecasting traffic time series with multivariate predicting method. - Yi Yin; Pengjian Shang (Appl. Math. Comput., 2016)

Modified multiscale cross-sample entropy for complex time series. - Yi Yin; Pengjian Shang; Guochen Feng (Appl. Math. Comput., 2016)

Refined two-index entropy and multiscale analysis for complex system. - Songhan Bian; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2016)

Dissimilarity measure based on ordinal pattern for physiological signals. - Jing Wang; Pengjian Shang; Wenbin Shi; Xingran Cui (Commun. Nonlinear Sci. Numer. Simul., 2016)

Permutation and weighted-permutation entropy analysis for the complexity of nonlinear time series. - Jianan Xia; Pengjian Shang; Jing Wang; Wenbin Shi (Commun. Nonlinear Sci. Numer. Simul., 2016)

Weighted multifractal cross-correlation analysis based on Shannon entropy. - Hui Xiong; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2016)

Modified generalized sample entropy and surrogate data analysis for stock markets. - Mengjia Xu; Pengjian Shang; Jingjing Huang (Commun. Nonlinear Sci. Numer. Simul., 2016)

Recurrence quantity analysis based on singular value decomposition. - Songhan Bian; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2017)

Transfer entropy between multivariate time series. - Xuegeng Mao; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2017)

A comparison study on stages of sleep: Quantifying multiscale complexity using higher moments on coarse-graining. - Wenbin Shi; Pengjian Shang; Yan Ma; Shuchen Sun; Chien-Hung Yeh (Commun. Nonlinear Sci. Numer. Simul., 2017)

Detrended fluctuation analysis of multivariate time series. - Hui Xiong; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2017)

Symbolic phase transfer entropy method and its application. - Ningning Zhang; Aijing Lin; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2017)

Permutation entropy analysis of financial time series based on Hill's diversity number. - Yali Zhang; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2017)

Multidimensional scaling analysis of financial stocks based on Kronecker-delta dissimilarity. - Jiayi He; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2018)

Financial time series analysis using Total-CApEn and Avg-CApEn with cumulative histogram matrix. - Jinyang Li; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2018)

The detection of local irreversibility in time series based on segmentation. - Yue Teng; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2018)

Multiscale sample entropy and cross-sample entropy based on symbolic representation and similarity of stock markets. - Yue Wu; Pengjian Shang; Yilong Li (Commun. Nonlinear Sci. Numer. Simul., 2018)

Recurrence quantity analysis based on matrix eigenvalues. - Pengbo Yang; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2018)

Multiscale transfer entropy: Measuring information transfer on multiple time scales. - Xiaojun Zhao; Yupeng Sun; Xuemei Li; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2018)

Financial time series analysis based on fractional and multiscale permutation entropy. - Jinyang Li; Pengjian Shang; Xuezheng Zhang (Commun. Nonlinear Sci. Numer. Simul., 2019)

Fractional cumulative residual entropy. - Hui Xiong; Pengjian Shang; Yali Zhang (Commun. Nonlinear Sci. Numer. Simul., 2019)

Quantifying the Multiscale Predictability of Financial Time Series by an Information-Theoretic Approach. - Xiaojun Zhao; Chenxu Liang; Na Zhang; Pengjian Shang (Entropy, 2019)

Generalized entropy plane based on large deviations theory for financial time series. - Shijian Chen; Pengjian Shang; Yue Wu (Appl. Math. Comput., 2020)

An adaptive method for threshold of recurrence quantification analysis based on SAX. - Shijian Chen; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2020)

NF-CECP: A novel approach to distinguish signals with different properties via modified Fisher information measure. - Jiayi He; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2020)

The Fisher-DisEn plane: A novel approach to distinguish different complex systems. - Du Shang; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2020)

Measuring information transfer by dispersion transfer entropy. - Boyi Zhang; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2020)

Complexity Analysis of Time Series Based on Generalized Fractional Order Refined Composite Multiscale Dispersion Entropy. - Yu Wang 143; Pengjian Shang (Int. J. Bifurc. Chaos, 2020)

Efficient synchronization estimation for complex time series using refined cross-sample entropy measure. - Du Shang; Pengjian Shang; Zuoquan Zhang (Commun. Nonlinear Sci. Numer. Simul., 2021)

Transition-based complexity-entropy causality diagram: A novel method to characterize complex systems. - Boyi Zhang; Pengjian Shang; Jinzhao Liu (Commun. Nonlinear Sci. Numer. Simul., 2021)

Analysis of Time Series Based on a New Entropy Plane by Using Weighted Dispersion Pattern. - Guyue Qin; Pengjian Shang (Int. J. Bifurc. Chaos, 2021)

Cumulative Permuted Fractional Entropy and its Applications. - Boyi Zhang; Pengjian Shang (IEEE Trans. Neural Networks Learn. Syst., 2021)

A novel approach of dependence measure for complex signals. - Du Shang; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2022)

KM-MIC: An improved maximum information coefficient based on K-Medoids clustering. - Yali Zhang; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2022)

Multi-Moment Multiscale Local Sample Entropy and Its Application to Complex Physiological Time Series. - Sange Li; Pengjian Shang (Int. J. Bifurc. Chaos, 2022)

Characterizing ordinal network of time series based on complexity-entropy curve. - Kun Peng; Pengjian Shang (Pattern Recognit., 2022)

Transition Permutation Entropy and Transition Dissimilarity Measure: Efficient Tools for Fault Detection of Railway Vehicle Systems. - Boyi Zhang; Pengjian Shang (IEEE Trans. Ind. Informatics, 2022)

Analysis of the Dispersion Havrda-Charvat Entropy Plane in Financial Time Series. - Zhuo Wang; Pengjian Shang (Int. J. Bifurc. Chaos, 2022)

Generalized Shannon-Fisher index: An effective method to quantify the instability of multivariate time series. - Binbin Shang; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2023)

Time irreversibility analysis and abnormality detection based on Riemannian geometry for complex time series. - Zhuo Wang; Pengjian Shang; Binbin Shang (Commun. Nonlinear Sci. Numer. Simul., 2023)

Dispersion heterogeneous recurrence analysis and its use on fault detection. - Boyi Zhang; Pengjian Shang; Xuegeng Mao; Jinzhao Liu (Commun. Nonlinear Sci. Numer. Simul., 2023)

The dependence index based on martingale difference correlation: An efficient tool to distinguish different complex systems. - Du Shang; Pengjian Shang (Expert Syst. Appl., 2023)

Multiscale cross-sample entropy based on visibility graph for quantifying time series irreversibility. - Yi Yin; Xi Wang; Wenjing Wang; Qiang Li; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2023)

A novel distance correlation entropy and Auto-distance correlation function for measuring the complexity of time series data. - Yixiao Liu; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2024)

Hierarchical Bidirectional Transition Dispersion Entropy-based Lempel-Ziv Complexity and Its Application in Fault-Bearing Diagnosis. - Runze Jiang; Pengjian Shang (CoRR, 2024)

A novel and effective method for quantifying complexity of nonlinear time series. - Binbin Shang; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2024)

A novel clustering method for complex signals and feature extraction based on advanced information-based dissimilarity measure. - Du Shang; Pengjian Shang; Ang Li (Expert Syst. Appl., 2024)

Feature recognition of complex systems using cumulative residual Tsallis signal entropy and grey wolf optimized support vector machine. - Zhuo Wang; Pengjian Shang; Xuegeng Mao (Expert Syst. Appl., 2024)

A Novel and Effective Method for Quantifying the Performance of Time Series Volatility. - Binbin Shang; Pengjian Shang (IEEE Trans. Ind. Informatics, 2024)

Node center identification in complex networks based on Jensen-Shannon divergence. - Bowen Han; Guochen Feng; Pengjian Shang (Commun. Nonlinear Sci. Numer. Simul., 2025)

Effective methods for quantifying complexity based on improved ordinal partition networks: Topological dispersion entropy and weighted topological dispersion entropy. - Fan Zhang; Jiayi He; Pengjian Shang; Yi Yin (Commun. Nonlinear Sci. Numer. Simul., 2025)

Gradient entropy (GradEn): The two dimensional version of slope entropy for image analysis. - Runze Jiang; Pengjian Shang (CoRR, 2025)