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Controlling synchronization in an ensemble of globally coupled oscillators
Michael G Rosenblum1, Arkady S Pikovsky
1Department of Physics, University of Potsdam, Am Neuen Palais 10, PF 601553, D-14415, Potsdam, Germany.
Physical Review Letters
|April 20, 2004
Summary
We developed a new method to control collective oscillations in coupled systems using time-delayed feedback. This technique can either boost or reduce self-synchronization in populations, with potential applications discussed.
Area of Science:
- Nonlinear dynamics
- Complex systems
- Statistical physics
Background:
- Coherent collective oscillations are fundamental in many natural and engineered systems.
- Controlling synchronization in ensembles of coupled oscillators remains a significant challenge.
- Existing methods often lack tunability or broad applicability.
Purpose of the Study:
- To introduce and validate a novel technique for controlling collective oscillations in globally coupled ensembles.
- To investigate the influence of time-delayed feedback on self-synchronization dynamics.
- To explore the potential applications of this control method.
Main Methods:
- Numerical simulations of coupled oscillator ensembles.
- Theoretical analysis of the mean-field dynamics with time-delayed feedback.
- Parameter-space exploration to identify regimes of enhanced or suppressed synchronization.
Main Results:
- Demonstrated that time-delayed feedback in the mean field can effectively control self-synchronization.
- Identified specific parameter regimes where synchronization is enhanced.
- Identified specific parameter regimes where synchronization is suppressed.
Conclusions:
- The proposed time-delayed feedback technique offers a versatile approach to manipulate collective dynamics in oscillatory systems.
- This method provides a new tool for researchers and engineers working with coupled systems.
- Potential applications range from neuroscience to engineering, highlighting the broad relevance of controlling synchronization.