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Routes to synchrony between asymmetrically interacting oscillator ensembles
Jane H Sheeba1, V K Chandrasekar, Aneta Stefanovska
1Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2008
Summary
Asymmetrically interacting oscillators exhibit unique pathways to synchrony, a phenomenon influenced by coupling asymmetry and phase differences. These novel routes offer new insights into controlling synchronized systems.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Physics of oscillations
Background:
- Oscillator ensembles are fundamental to many natural and engineered systems.
- Understanding synchrony in coupled oscillators is crucial for diverse applications.
- Asymmetry in interactions can lead to complex emergent behaviors.
Purpose of the Study:
- To investigate novel routes to synchrony in asymmetrically interacting oscillator ensembles.
- To elucidate the role of coupling asymmetry and phase differences in synchrony.
- To explore the impact of noise on these synchrony pathways.
Main Methods:
- Simulations of coupled oscillator networks with asymmetric interactions.
- Analysis of emergent synchrony phenomena.
- Investigation of the effects of additive white noise on system dynamics.
Main Results:
- Asymmetrically interacting oscillators demonstrate distinct, previously unreported routes to synchrony.
- These novel routes are intrinsically linked to the degree of coupling asymmetry.
- System behavior is robust to white noise, with only entrainment frequencies being affected.
- The probability of observing these routes is directly correlated with phase asymmetry.
Conclusions:
- Coupling asymmetry introduces unique synchrony mechanisms in oscillator ensembles.
- Phase asymmetry is a key determinant for the occurrence of these novel synchrony routes.
- These findings provide fundamental insights into the control and understanding of synchronized dynamics.
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