日時：6月24日（火）　14：00〜16：00
場所：東大生研Ew-305
講師：郡　宏先生（お茶の水女子大学　お茶大アカデミック・プロダクション）
タイトル：Synchronization engineering

アブスト：
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.

[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",
to appear in Chaos