Synchronization engineering: theoretical framework and application to dynamical clustering
A method for engineering the global 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 s...
Saved in:
Published in | Chaos (Woodbury, N.Y.) Vol. 18; no. 2; p. 026111 |
---|---|
Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
United States
01.06.2008
|
Subjects | |
Online Access | Get more information |
Cover
Loading…
Summary: | A method for engineering the global 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. |
---|---|
ISSN: | 1089-7682 |
DOI: | 10.1063/1.2927531 |