Abstract
For analyzing properties of complex systems, a mathematical model for these systems is useful. In this paper we describe how discrete complex systems can be modeled mathematically and we give a framework for the analysis of the system with respect to the properties autonomy and emergence, which are two of the most important properties of self-organizing systems. The modeling is done by using a multigraph to describe the connections between objects and stochastic automatons for the behavior of the objects.
The presented work has been supported by the EU projects Euro-NF (NoE, FP7, ICT-2007-1-216366) and AutoI (STREP, FP7, ICT-2007-1-216404).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
De Meer, H., Koppen, C.: Characterization of self-organization. In: Steinmetz, R., Wehrle, K. (eds.) Peer-to-Peer Systems and Applications. LNCS, vol. 3485, pp. 227–246. Springer, Heidelberg (2005)
Heylighen, F.P.: The science of self-organization and adaptivity. In: Kiel, L.D. (ed.) Knowledge Management, Organizational Intelligence and Learning, and Complexity, The Encyclopedia of Life Support Systems. EOLSS Publishers (2003)
Nicolis, G., Prigogine, I.: Self-Organization in Non-Equilibrium Systems: From Dissipative Structures to Order Through Fluctuations. Wiley, Chichester (1977)
Haken, H.: Synergetics and the Problem of Selforganization. In: Self-organizing Systems: An Interdisciplinary Approach, pp. 9–13. Campus Verlag (1981)
Shalizi, C.R.: Causal Architecture, Complexity and Self-Organization in Time Series and Cellular Automata. PhD thesis, University of Wisconsin-Madison (2001)
von Foerster, H.: On Self-Organizing Systems and their Environments. In: Self-Organizing Systems, pp. 31–50. Pergamon, Oxford (1960)
Ashby, W.R.: Principles of Self-organization. In: Principles of Self-organization, pp. 255–278. Pergamon, Oxford (1962)
Heylighen, F., Joslyn, C.: Cybernetics and second order cybernetics. In: Encyclopaedia of Physical Science & Technology, vol. 4, pp. 155–170 (2001)
Gershenson, C.: Design and Control of Self-organizing Systems. PhD thesis, Vrije Universiteit Brussel, Brussels, Belgium (May 2007)
Boccara, N.: Modeling Complex Systems. Springer, Heidelberg (2004)
Holzer, R., de Meer, H.: On modeling of self-organizing systems. In: Autonomics 2008 (2008)
Di Marzo Serugendo, G., Foukia, N., Hassas, S., Karageorgos, A., Mostéfaoui, S.K., Rana, O.F., Ulieru, M., Valckenaers, P., Van Aart, C.: Self-organisation: Paradigms and applications. In: ESOA 2003. LNCS, vol. 2977, pp. 1–19. Springer, Heidelberg (2004)
Gerhenson, C., Heylighen, F.: When can we call a system self-organizing? In: Banzhaf, W., Ziegler, J., Christaller, T., Dittrich, P., Kim, J.T. (eds.) ECAL 2003. LNCS (LNAI), vol. 2801, pp. 606–614. Springer, Heidelberg (2003)
Cover, T.M., Thomas, J.A.: Elements of Information Theory, 2nd edn. Wiley, Chichester (2006)
Shannon, C.E.: A mathematical theory of communication. Bell System Technical Journal 27, 379–423 (1948)
Dessalles, J.L., Phan, D.: Emergence in multi-agent systems:cognitive hierarchy, detection, and complexity reduction. In: Computing in Economics and Finance 2005, vol. 257. Society for Computational Economics (November 2005)
Tyrrell, A., Auer, G., Bettstetter, C.: Biologically inspired synchronization for wireless networks. In: Dressler, F., Carreras, I. (eds.) Advances in Biologically Inspired Information Systems: Models, Methods, and Tools. Studies in Computational Intelligence, vol. 69, pp. 47–62. Springer, Heidelberg (1979)
Mirollo, R., Strogatz, S.: Synchronization of pulse-coupled biological oscillators. SIAM Journal of Applied Mathematics 50, 1645–1662 (1990)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Holzer, R., de Meer, H., Bettstetter, C. (2008). On Autonomy and Emergence in Self-Organizing Systems. In: Hummel, K.A., Sterbenz, J.P.G. (eds) Self-Organizing Systems. IWSOS 2008. Lecture Notes in Computer Science, vol 5343. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92157-8_14
Download citation
DOI: https://doi.org/10.1007/978-3-540-92157-8_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-92156-1
Online ISBN: 978-3-540-92157-8
eBook Packages: Computer ScienceComputer Science (R0)