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...

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Bibliographic Details
Published inChaos (Woodbury, N.Y.) Vol. 18; no. 2; p. 026111
Main Authors Kori, Hiroshi, Rusin, Craig G, Kiss, István Z, Hudson, John L
Format Journal Article
LanguageEnglish
Published United States 01.06.2008
Subjects
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
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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