Synchronization of pulse-coupled biological oscillators
SIAM Journal on Applied Mathematics
Causal architecture, complexity and self-organization in time series and cellular automata
Causal architecture, complexity and self-organization in time series and cellular automata
Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing)
Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing)
On modeling of self-organizing systems
Autonomics '08 Proceedings of the 2nd International Conference on Autonomic Computing and Communication Systems
Intrinsic Monitoring Using Behaviour Models in IPv6 Networks
MACE '09 Proceedings of the 4th IEEE International Workshop on Modelling Autonomic Communications Environments
The Degree of Global-State Awareness in Self-Organizing Systems
IWSOS '09 Proceedings of the 4th IFIP TC 6 International Workshop on Self-Organizing Systems
Quantitative Modeling of Self-organizing Properties
IWSOS '09 Proceedings of the 4th IFIP TC 6 International Workshop on Self-Organizing Systems
Methods for approximations of quantitative measures in self-organizing systems
IWSOS'11 Proceedings of the 5th international conference on Self-organizing systems
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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.