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Robustness and consistency of dynamic clustering in complex systems

The robustness and consistency of dynamic clustering behaviour in standard and adaptive coupled maps was investigated. For illustration purposes, a particular subset of dynamic clustering behaviour was chosen to represent information processing. This behaviour consists of the formation and annihilation of a limited number of synchronization clusters within an episode, which show quasi-periodic activity patterns. Metastable quasi-periodicity and dynamic clustering detection algorithms allow this behaviour to be observed in short segments of a system's orbit. Robustness and consistency of this behaviour were confirmed in compact support regions of the control parameter spaces of standard and extended coupled map systems.