Synchronization Engineering: Theoretical Framework and Application to Dynamical Clustering

Hiroshi Kori; Craig G. Rusin; Istvan Z. Kiss; John L. Hudson

doi:10.1063/1.2927531

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arXiv · 0806.0705

Synchronization Engineering: Theoretical Framework and Application to Dynamical Clustering

Hiroshi Kori·Craig G. Rusin·Istvan Z. Kiss·John L. Hudson

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Abstract

A method for engineering the behavior of populations of rhythmic elements is presented. The framework, which is based on phase models, allows a nonlinear time-delayed global feedback signal to be constructed which produces an interaction function corresponding to the desired behavior of the system. It is shown theoretically and confirmed in numerical simulations that a polynomial, delayed feedback is a versatile tool to tune synchronization patterns. Dynamical states consisting of one to four clusters were engineered to demonstrate the application of synchronization engineering in an experimental electrochemical system.

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BibTeX RIS

Hiroshi Kori, Craig G. Rusin, Istvan Z. Kiss, John L. Hudson. 2008-06-04. Synchronization Engineering: Theoretical Framework and Application to Dynamical Clustering. https://doi.org/10.1063/1.2927531

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