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 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
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
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 give quantitative definitions of adaptivity, target orientation, homogeneity and resilience with respect to faulty nodes or attacks by intruders. The modeling of the system is done by using a multigraph to describe the connections between objects and stochastic automatons for the behavior of the objects. The quantitative definitions of the properties can help for the analysis of existing systems and for the design of new systems. To show the practical usability of the concepts, the definitions are applied to a slot synchronization algorithm in wireless sensor networks.