Entropy description of a cooperation－competition system

doi:10.1088/1674-1056/19/6/061501

中国物理B ›› 2010, Vol. 19 ›› Issue (6): 60501-060501R.doi: 10.1088/1674-1056/19/6/061501

Entropy description of a cooperation－competition system

刘春平¹, 徐秀莲², 傅春花², 何大韧²

(1)College of Mathematics Science, Yangzhou University, Yangzhou 225009, China; (2)College of Physics Science and Technology, Yangzhou University,Yangzhou 225009, China

收稿日期:2010-02-21 修回日期:2010-03-12 出版日期:2010-06-15 发布日期:2010-06-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10635040 and 70671089).

Entropy description of a cooperation－competition system

Xu Xiu-Lian(徐秀莲)^a), Fu Chun-Hua(傅春花)^a), Liu Chun-Ping(刘春平)^b), and He Da-Ren(何大韧)^a)†

^a College of Mathematics Science, Yangzhou University, Yangzhou 225009, China; ^b College of Physics Science and Technology, Yangzhou University,Yangzhou 225009, China

Received:2010-02-21 Revised:2010-03-12 Online:2010-06-15 Published:2010-06-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10635040 and 70671089).

摘要/Abstract

摘要： Understanding the cooperation--competition dynamics is a long-standing challenge in studying complex systems. Inspired by the idea of Shannon entropy, we define competition information entropy and propose an entropy evolution model. The analytic results of the model of the relation between competition gain distribution parameters and entropy, as well as the relation between entropy and time are compared with empirical results obtained in 14 real world systems. They are found to be in good agreement with each other.

关键词: cooperation--competition, entropy, competition gain, evolution model

Abstract: Understanding the cooperation--competition dynamics is a long-standing challenge in studying complex systems. Inspired by the idea of Shannon entropy, we define competition information entropy and propose an entropy evolution model. The analytic results of the model of the relation between competition gain distribution parameters and entropy, as well as the relation between entropy and time are compared with empirical results obtained in 14 real world systems. They are found to be in good agreement with each other.

Key words: cooperation--competition, entropy, competition gain, evolution model

中图分类号: (Information and communication theory)

89.70.-a

89.75.-k (Complex systems)

徐秀莲, 傅春花, 刘春平, 何大韧. Entropy description of a cooperation－competition system[J]. 中国物理B, 2010, 19(6): 60501-060501R.

Xu Xiu-Lian(徐秀莲), Fu Chun-Hua(傅春花), Liu Chun-Ping(刘春平), and He Da-Ren(何大韧). Entropy description of a cooperation－competition system[J]. Chin. Phys. B, 2010, 19(6): 60501-060501R.

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Entropy description of a cooperation－competition system

Entropy description of a cooperation－competition system

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