About the Authors
- Juan Zhang
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Affiliation Department of Mathematics, North University of China, Taiyuan, Shan'xi, People's Republic of China
- Zhen Jin
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Affiliation Department of Mathematics, North University of China, Taiyuan, Shan'xi, People's Republic of China
- Gui-Quan Sun
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Affiliation Department of Mathematics, North University of China, Taiyuan, Shan'xi, People's Republic of China
- Tao Zhou
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Affiliations Web Sciences Center, University of Electronic Science and Technology of China, Chengdu, Sichuan, People's Republic of China, Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui, People's Republic of China
- Shigui Ruan
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* E-mail: ruan@math.miami.edu
Affiliation Department of Mathematics, University of Miami, Coral Gables, Florida, United States of America
Competing Interests
The authors have declared that no competing interests exist.
Author Contributions
Conceived and designed the experiments: JZ ZJ GS TZ SR. Performed the experiments: JZ ZJ GS SR. Analyzed the data: JZ ZJ GS SR. Contributed reagents/materials/analysis tools: JZ ZJ GS TZ SR. Wrote the paper: JZ ZJ GS SR.