Synchronization engineering: theoretical framework and application to dynamical clustering

Chaos. 2008 Jun;18(2):026111. doi: 10.1063/1.2927531.


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.

Publication types

  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Algorithms
  • Animals
  • Biophysics / methods*
  • Cluster Analysis
  • Electrochemistry / methods*
  • Feedback, Physiological*
  • Fourier Analysis
  • Humans
  • Models, Theoretical
  • Neurons / metabolism
  • Oscillometry
  • Parkinson Disease / metabolism
  • Signal Transduction
  • Time Factors