Abstract
The dynamical properties of delay-coupled systems are currently of great interest. So far the analysis has concentrated primarily on identical synchronization properties. Here we study the dynamics of rings of delay-coupled nodes, a topology that cannot show identical synchronization, and compare its properties to those of linear stochastic maps. We find that, in the long delay limit, the correlation functions and spectra of delay-coupled rings of nonlinear systems obey the same scaling laws as linear systems, indicating that important properties of the emerging solution result from network topology.
Original language | English |
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Article number | 056209 |
Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
Volume | 85 |
Issue number | 5 |
DOIs | |
Publication status | Published - 15 May 2012 |
Bibliographical note
©2012 American Physical Society. Spectral and correlation properties of rings of delay-coupled elements: Comparing linear and nonlinear systems. O. D'Huys, I. Fischer, J. Danckaert, and R. VicentePhys. Rev. E 85, 056209 – Published 15 May 2012