About the Authors
- Zhi-Qiang Xia
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Affiliations Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, PR China, Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, PR China
- Juan Zhang
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Affiliation Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, PR China
- Ya-Kui Xue
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* E-mail: xyk5152@163.com (YKX); gquansun@126.com (GQS); jinzhn@263.net (ZJ)
Affiliation Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, PR China
- Gui-Quan Sun
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* E-mail: xyk5152@163.com (YKX); gquansun@126.com (GQS); jinzhn@263.net (ZJ)
Affiliation Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, PR China
- Zhen Jin
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* E-mail: xyk5152@163.com (YKX); gquansun@126.com (GQS); jinzhn@263.net (ZJ)
Affiliation Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, PR China
Competing Interests
The authors have declared that no competing interests exist.
Author Contributions
Conceived and designed the experiments: JZ GQS. Performed the experiments: ZQX JZ. Analyzed the data: ZQX JZ. Contributed reagents/materials/analysis tools: YKX GQS ZJ. Wrote the paper: ZQX GQS ZJ.