Synchronization Engineering: Theoretical Framework and Application to Dynamical Clustering

Details Synchronization Engineering: Theoretical Framework and Application to Dynamical Clustering Synchronization Engineering: Theoretical Framework and Application to Dynamical Clustering

2008-06-04

arxiv.org/abs/0806.0705v1

Chaos 18, 026111 (2008)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

To appear in CHAOS

Scientific paper

10.1063/1.2927531

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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