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		Chenghong WANG,Yuqian GUO,Daizhan CHENG.[en_title][J].Control Theory and Technology,2004,2(4):393~396.[Copy]

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ChenghongWANG,YuqianGUO,DaizhanCHENG
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Received:September 10, 2004Revised:October 10, 2004

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Optimization leads to symmetry

Chenghong WANG, Yuqian GUO, Daizhan CHENG

(Division of Information Science, Committee of National Natural Science Foundation of China, Beijing 100085,China; Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China)

Abstract:

The science of complexity studies the behavior and properties of complex systems in nature and human society. Particular interest has been put on their certain simple common properties. Symmetry is one of such properties. Symmetric phenomena can be found in many complex systems. The purpose of this paper is to reveal the internal reason of the symmetry. Using some physical systems and geometric objects, the paper shows that many symmetries are caused by optimization under certain criteria. It has also been revealed that an evolutional process may lead to symmetry.

Key words: Complex system Symmetry Optimizadon Evolutional process