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)
Pattern Recognition and Machine Learning (Information Science and Statistics)
Pattern Recognition and Machine Learning (Information Science and Statistics)
On Autonomy and Emergence in Self-Organizing Systems
IWSOS '08 Proceedings of the 3rd International Workshop on Self-Organizing Systems
On modeling of self-organizing systems
Autonomics '08 Proceedings of the 2nd International Conference on Autonomic Computing and Communication Systems
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
Quantitative Emergence -- A Refined Approach Based on Divergence Measures
SASO '10 Proceedings of the 2010 Fourth IEEE International Conference on Self-Adaptive and Self-Organizing Systems
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For analyzing properties of complex systems, a mathematical model for these systems is useful. In micro-level modeling a multigraph can be used to describe the connections between objects. The behavior of the objects in the system can be described by (stochastic) automatons. In such a model, quantitative measures can be defined for the analysis of the systems or for the design of new systems. Due to the high complexity, it is usually impossible to calculate the exact values of the measures, so approximation methods are needed. In this paper we investigate some approximation methods to be able to calculate quantitative measures in a micro-level model of a complex system. To analyze the practical usability of the concepts, the methods are applied to a slot synchronization algorithm in wireless sensor networks.