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Noise-induced phase locking in coupled coherence-resonance oscillators
Masako Ohtaki1, Takayuki Tanaka, Kenji Miyakawa
1Advanced Materials Institute, Fukuoka University, Fukuoka 814-0180, Japan.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
Summary
Additive noise can induce coupled oscillatory modes in chemical systems. This phenomenon, observed via coherence resonance, mimics deterministic behaviors in coupled oscillators.
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Complex systems
Background:
- Coupled excitable chemical oscillators exhibit complex dynamics.
- Understanding the influence of noise on these systems is crucial for predicting their behavior.
- Deterministic models often simplify or omit the role of inherent system noise.
Purpose of the Study:
- To investigate the impact of additive noise on coupled excitable chemical oscillators.
- To explore the induction of oscillatory coupled modes by noise.
- To analyze the mechanism of phase locking in the presence of noise.
Main Methods:
- Numerical simulations using a forced Oregonator reaction-diffusion model.
- Analysis of phase locking phenomena in the weak coupling regime.
- Comparison of noise-induced dynamics with deterministic oscillator behavior.
Main Results:
- Additive noise can induce oscillatory coupled modes.
- Phase locking is achieved through coherence resonance in the weak coupling regime.
- Noise-induced phase locking modes resemble those found in deterministic coupled oscillators.
Conclusions:
- Noise plays a significant role in the emergence of synchronized behavior in coupled chemical oscillators.
- Coherence resonance is a key mechanism for noise-induced phase locking.
- Numerical models can effectively reproduce experimental observations of noise-driven oscillatory modes.