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Excitability transitions and wave dynamics under spatiotemporal structured noise
S Alonso1, F Sagués, J M Sancho
1Departament de Química Física, Universitat de Barcelona, Avenida Diagonal 647, 08028 Barcelona, Spain. s.alonso@qf.ub.es
Summary
External fluctuations in active media can constructively create patterns like target patterns and waves. Our study shows how noise can drive complex behaviors in reaction-diffusion systems.
Area of Science:
- * Physics
- * Chemistry
- * Mathematical Biology
Background:
- * Active media exhibit complex dynamics influenced by external factors.
- * Stochastic partial differential equations (SPDEs) are often used to model these systems.
- * Understanding the role of noise is crucial for predicting system behavior.
Purpose of the Study:
- * To analytically and numerically investigate the impact of external fluctuations on active media.
- * To develop a methodology for transforming stochastic models into deterministic ones.
- * To explain and predict noise-induced phenomena such as pattern formation and wave propagation.
Main Methods:
- * Developed an analytical approach to convert stochastic partial differential equations (SPDEs) into deterministic reaction-diffusion equations.
- * Employed numerical simulations to study the effects of noise.
- * Considered realistic noise with temporal and spatial structures.
Main Results:
- * Demonstrated that external noise can have constructive effects on active media.
- * Explained the emergence of target patterns from noise.
- * Showed that noise can sustain traveling and spiral waves.
Conclusions:
- * External fluctuations can be a driving force for pattern formation and wave propagation in active media.
- * The developed analytical framework provides quantitative predictions for noise-induced phenomena.
- * This research offers insights into the role of noise in complex systems.