Abstract
A logic model for analyzing complex systems’ stability is very useful to many areas of sciences. In the real world, we are enlightened from some natural phenomena such as “biosphere”, “food chain”, “ecological balance” etc. By research and practice, and taking advantage of the orthogonality and symmetry defined by the theory of multilateral matrices, we put forward a logic analysis model of stability of complex systems with three relations, and prove it by means of mathematics. This logic model is usually successful in analyzing stability of a complex system. The structure of the logic model is not only clear and simple, but also can be easily used to research and solve many stability problems of complex systems. As an application, some examples are given.
This research is supported by the Science Fund of Henan Province, China (0511012500) and key project of Information and Industry Department of Chongqing City, China (200311014).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Einstein: Translated by Hao Li. Significance of Relativity. Science Press, Beijing (1979)
Tiankouxuanyi: Translated by China TQ Institute of Weapon Industry. Quality Engineering in Stage of Developing and Designing. Weapon Industry Press of China, Beijing (1992)
Tiankouxuanyi: Translated by China TQ Institute of Weapon Industry. Quality Engineering in Stage of Manufacture. Weapon Industry Press of China, Beijing (1992)
Zhang, Y.: Multilateral Matrix Theory. China Statistics Press, Beijing (1993)
Zhang, Y.S., Pang, S.Q., Jiao, Z.M., Zhao, W.Z.: Group Partition and Systems of Orthogonal Idempotents. Linear Algebra and its Applications 278, 249–262 (1998)
Zhang, Y.S., Lu, Y.Q., Pang, S.Q.: Orthogonal Arrays obtained by Orthogonal Decomposition of Projection Matrices. Statistica Sinica 9, 595–604 (1999)
Zhang, Y.S., Pang, S.Q., Wang, Y.P.: Orthogonal Arrays obtained by Generalized Hadamard Product. Discrete Mathematics 238, 151–170 (2001)
Zhang, Y.S., Duan, L., Lu, Y.Q., Zheng, Z.G.: Construction of Generalized Hadamard Matrices D(rm(r+1),rm(r+1);p). J. Stat. Plan. Inf. 104, 239–258 (2002)
Zhang, Y.S.: Choosing Polybasic Linear Model and Estimated Form in Cp Statistics. Journal of Henan Normal University(Nature) 3, 31–38 (1993)
Meng, M.: A Analysis Method of Stable Center of Complex System, Theses of Master Degree of Henan Normal University (2003)
Research Center for Chinese and Foreign Celebrities, Developing Center of Chinese Culture Resources, Chinese Philosophy Encyclopedia. Shanghai People Press, Shanghai (1994)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Feng, N., Qiu, Y., Wang, F., Zhang, Y., Yin, S. (2005). A Logic Analysis Model About Complex Systems’ Stability: Enlightenment from Nature. In: Huang, DS., Zhang, XP., Huang, GB. (eds) Advances in Intelligent Computing. ICIC 2005. Lecture Notes in Computer Science, vol 3644. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11538059_86
Download citation
DOI: https://doi.org/10.1007/11538059_86
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28226-6
Online ISBN: 978-3-540-31902-3
eBook Packages: Computer ScienceComputer Science (R0)