Synchronization Engineering: Theoretical Framework and Application to Dynamical Clustering
Adaptation and Self-Organizing Systems
2010-10-26 v1 Disordered Systems and Neural Networks
Pattern Formation and Solitons
Chemical Physics
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.
Cite
@article{arxiv.0806.0705,
title = {Synchronization Engineering: Theoretical Framework and Application to Dynamical Clustering},
author = {Hiroshi Kori and Craig G. Rusin and Istvan Z. Kiss and John L. Hudson},
journal= {arXiv preprint arXiv:0806.0705},
year = {2010}
}
Comments
To appear in CHAOS