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Published on: October 6, 2023
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Phase synchronization in coupled nonidentical excitable systems and array-enhanced coherence resonance
1Department of Physics and Centre for Nonlinear Studies, Hong Kong Baptist University, Hong Kong, China and Department of Physics, University of Houston, Houston, Texas 77204, USA.
Summary
Stochastic oscillators can synchronize globally without external signals. Increasing noise intensity enhances coherence resonance, with coupling further boosting this noise-induced effect in coupled systems.
Area of Science:
- Nonlinear dynamics
- Complex systems
- Computational neuroscience
Background:
- The FitzHugh-Nagumo model is a simplified mathematical model of an excitable system, often used to study neuronal firing.
- Coupled oscillators can exhibit complex emergent behaviors, including synchronization.
- External noise can significantly influence the dynamics of nonlinear systems.
Purpose of the Study:
- To investigate the synchronization dynamics of a lattice of coupled nonidentical FitzHugh-Nagumo systems under independent external noise.
- To explore the phenomenon of coherence resonance in this stochastic system.
- To determine the role of coupling in modulating noise-induced coherence.
Main Methods:
- Numerical simulations of coupled nonidentical FitzHugh-Nagumo oscillators.
- Analysis of synchronization measures (e.g., order parameter).
- Varying noise intensity and coupling strength to observe system responses.
Main Results:
- Global synchronization was achieved in the absence of an external driving signal.
- Coherence resonance behavior was observed as noise intensity increased.
- Inter-oscillator coupling was found to significantly enhance the noise-induced coherence.
Conclusions:
- Coupled nonidentical FitzHugh-Nagumo systems can achieve global synchronization through stochastic effects alone.
- Noise intensity plays a crucial role in inducing coherence resonance.
- System coupling is a key factor in amplifying noise-induced synchronization and coherence.
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