Dynamics and evolution of biological and social networks

Synchronization Engineering

Author: Hiroshi Kori, Hokkaido university.

Names and affiliation of other authors:

Oral presentation

Populations of interacting rhythmic components can produce complex behavior in biology, communications, population dynamics, and chemistry. In biology, synchronization can be beneficial, such as in orchestrating the circadian rhythms in mammals, or pathological, such as in the occurrence of Parkinsons disease. We consider here the engineering of desirable states through the introduction of mild feedback, mild such that the behavior of the individual components is not substantially changed by the introduction of the external signal. Our proposed theoretical framework, which is based on phase models, allows a nonlinear time delayed feedback signal to be constructed which produces an interaction function corresponding to the desired global behavior of the system. It is shown theoretically and confirmed in numerical simulations and in electrochemical experiments that a polynomial, delayed feedback is a versatile tool to tune synchronization patterns. The connection between our results and the formation of society will also be discussed in the talk.
[1] I.Z. Kiss, C.G. Rusin, H. Kori, and J.L. Hudson, "Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization", Science 316, 1886, 2007.
[2] H. Kori, C.G. Rusin, I.Z. Kiss, and J.L. Hudson. "Synchronization Engineering: Theoretical Framework and Application to Dynamical Clustering", submitted.

Dynamics and evolution of biological and social networks. February 18-20th, 2008. Mallorca, Spain.