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Resonance induced by coupling diversity in globally coupled bistable oscillators
1School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, China.
Physical Review. E
|October 24, 2019
Summary
Optimal coupling diversity enhances collective responses in bistable oscillators. This phenomenon, termed resonance induced by coupling diversity, leads to system splitting into three distinct oscillation clusters.
Area of Science:
- Nonlinear dynamics
- Complex systems
Background:
- Bistable oscillators are fundamental in modeling systems with two stable states.
- Understanding collective behavior in coupled oscillator networks is crucial for various scientific fields.
Purpose of the Study:
- To investigate the effect of diverse coupling strengths on the collective response of bistable oscillators subjected to a periodic signal.
- To identify conditions that optimize the system's collective response.
Main Methods:
- Simulations of an ensemble of bistable oscillators with varying coupling strengths.
- Analysis of the system's collective response and oscillation patterns.
- Development of a reduced model based on observed cluster behavior.
Main Results:
- Discovery of an optimal coupling diversity that significantly improves the collective response.
- Observation of the system splitting into three distinct oscillation clusters at this optimal diversity.
- Validation of a reduced model for predicting collective system behavior.
Conclusions:
- Coupling diversity can induce resonance in ensembles of bistable oscillators.
- The system's emergent behavior involves self-organization into distinct oscillation clusters.
- A simplified model can effectively capture the complex collective dynamics.
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