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Stochastic resonance on excitable small-world networks via a pacemaker
1Department of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor, Koroska cesta 160, SI-2000 Maribor, Slovenia. matjaz.perc@uni-mb.si
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 1, 2008
Summary
Stochastic resonance in excitable arrays is enhanced by noise intensity and network coupling strength. Optimal performance requires balancing excitation transfer and network structure for improved signal detection.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Network science
Background:
- Excitable media exhibit complex dynamics influenced by noise and network topology.
- Subthreshold pacemaker activity can be amplified by external stimuli, a phenomenon relevant in biological and physical systems.
Purpose of the Study:
- To investigate the resonant dependence of excitable array responses on spatiotemporal noise intensity.
- To determine how network coupling strength and topology modulate stochastic resonance.
Main Methods:
- Simulations of excitable arrays with varying noise levels and coupling strengths.
- Analysis of the correlation between pacemaker activity frequency and array response.
- Evaluation of network properties, including small-worldness and transition from diffusive to random networks.
Main Results:
- The correlation between pacemaker activity and array response shows resonant dependence on noise intensity.
- Network coupling strength significantly influences the impact of noise and network structure.
- Small-world network properties enhance stochastic resonance only at intermediate coupling strengths.
Conclusions:
- Optimal signal detection in excitable arrays relies on a balance between noise, excitation transfer, and network structure.
- The interplay between localized rhythmic activity and array response is sensitive to network parameters.
- Understanding these dynamics is crucial for designing systems that leverage stochastic resonance.
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