About the Authors

Xiaoru Xue

Roles Formal analysis, Methodology, Software, Validation, Visualization, Writing – original draft

Affiliation School of Mathematics and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, China

Chuan Xue

Roles Conceptualization, Investigation, Methodology, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing

tangmin@sjtu.edu.cn (MT); cxue@math.osu.edu (CX)

Affiliation Department of Mathematics, Ohio State University, Columbus, Ohio, United States of America

Min Tang

Roles Conceptualization, Formal analysis, Investigation, Methodology, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing

tangmin@sjtu.edu.cn (MT); cxue@math.osu.edu (CX)

Affiliation School of Mathematics and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, China

Competing Interests

The authors have declared that no competing interests exist.