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Arturo Buscarino, Dipartimento di Ingegneria Elettrica Elettronica e dei Sistemi, Universita degli Studi di Catania, Italy

The synchronization of chaotic system and the analysis of agent-based models

Abstract:
In this talk two aspects related to the study of complex systems will be 
discussed: the synchronization of chaotic systems and the analysis of agent-
based models.
In particular, the problem of separation and synchronization of chaotic 
systems (i.e. the synchronization of different chaotic dynamics through a 
unique scalar signal) will be examined. Two strategies to obtain 
synchronization of multiplexed systems will be described: the first, based on 
Linear Matrix Inequalities, deals to the design of an observer for piece-wise 
linear chaotic systems; the second strategy, based on the evaluation of the 
Master Stability Function of multiplexed systems, permits the extension of the 
separation and synchronization problem to chaotic system with smooth 
nonlinearities. Numerical and experimental results will be also shown.
The second part of the talk will focus on the possible link between agent-
based modeling and network theory. A distributed control scheme of roving 
robots based on Vicsek's model will be introduced. A Mobile agents model able 
to simulate the spreading of a virus in a population of interacting particles 
will be also described focusing on how such kind of models can be studied as 
dynamical networks.


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