Hierarchical Self-organization of Complex Systems

高等学校化学研究 ›› 2004, Vol. 20 ›› Issue (4): 440-445.

Hierarchical Self-organization of Complex Systems

CHAI Li-he¹, WEN Dong-sheng²

1. School of Environmental Science and Engineering, Tianjin University, Tianjin 300072, P. R. China;
2. Institute of Particle Science and Engineering, University of Leeds, Leeds LS2 9JT, UK

收稿日期:2004-06-03 出版日期:2004-08-24 发布日期:2011-08-06
基金资助:
Supported by the Science Foundation of the Ministry of Education of China for the Returned Overseas Chinese Schol-ars.

Hierarchical Self-organization of Complex Systems

CHAI Li-he¹, WEN Dong-sheng²

1. School of Environmental Science and Engineering, Tianjin University, Tianjin 300072, P. R. China;
2. Institute of Particle Science and Engineering, University of Leeds, Leeds LS2 9JT, UK

Received:2004-06-03 Online:2004-08-24 Published:2011-08-06
Supported by:
Supported by the Science Foundation of the Ministry of Education of China for the Returned Overseas Chinese Schol-ars.

摘要/Abstract

摘要： Researches on organization and structure in complex systems are academic and industrial fronts in modern sciences.Though many theories are tentatively proposed to analyze complex systems, we still lack a rigorous theory on them.Complex systems possess various degrees of freedom, which means that they should exhibit all kinds of structures.However, complex systems often show similar patterns and structures.Then the question arises why such similar structures appear in all kinds of complex systems.The paper outlines a theory on freedom degree compression and the existence of hierarchical self-organization for all complex systems is found.It is freedom degree compression and hierarchical self-organization that are responsible for the existence of these similar patterns or structures observed in the complex systems.

关键词: Complex systems, Degrees of freedom, Hierarchical, Self-organization

Abstract: Researches on organization and structure in complex systems are academic and industrial fronts in modern sciences.Though many theories are tentatively proposed to analyze complex systems, we still lack a rigorous theory on them.Complex systems possess various degrees of freedom, which means that they should exhibit all kinds of structures.However, complex systems often show similar patterns and structures.Then the question arises why such similar structures appear in all kinds of complex systems.The paper outlines a theory on freedom degree compression and the existence of hierarchical self-organization for all complex systems is found.It is freedom degree compression and hierarchical self-organization that are responsible for the existence of these similar patterns or structures observed in the complex systems.

Key words: Complex systems, Degrees of freedom, Hierarchical, Self-organization

CHAI Li-he, WEN Dong-sheng. Hierarchical Self-organization of Complex Systems[J]. 高等学校化学研究, 2004, 20(4): 440-445.

CHAI Li-he, WEN Dong-sheng. Hierarchical Self-organization of Complex Systems[J]. Chemical Research in Chinese Universities, 2004, 20(4): 440-445.

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Hierarchical Self-organization of Complex Systems

Hierarchical Self-organization of Complex Systems

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