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Published on: August 5, 2013
Coherent resonance in a one-way coupled system
1Department of Chemical Physics, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China and Center of Nonlinear Science, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of Chin.
Coherent resonance emerges in coupled nonlinear systems with noise, even without external signals. Coupling controls the propagation of this resonance, enhancing or suppressing it along a chain.
Area of Science:
- Nonlinear Dynamics
- Complex Systems
- Stochastic Resonance
Background:
- Nonlinear systems with intrinsic limit cycle dynamics are fundamental in various scientific fields.
- The interplay of noise and nonlinearity can lead to complex emergent behaviors.
- Cooperative phenomena in coupled systems are crucial for understanding signal propagation and information processing.
Purpose of the Study:
- To investigate the occurrence and characteristics of resonancelike behavior in coupled nonlinear systems driven by noise.
- To explore the role of coupling strength and noise levels in sustaining and controlling coherent resonance.
- To determine if external signal tuning is necessary for observing coherent resonance.
Main Methods:
- Theoretical analysis of coupled nonlinear oscillators with limit cycle dynamics.
- Numerical simulations to observe the propagation of coherent resonance along a one-way chain.
- Systematic variation of noise intensity and coupling constants to identify optimal conditions.
Main Results:
- Demonstrated a resonancelike phenomenon arising from the cooperative effect of noise, nonlinear dynamics, and coupling, independent of external signals.
- Showcased that coupling significantly influences the propagation of coherent resonance, enabling substantial enhancement or suppression.
- Identified conditions where coherent resonance occurs without parameter tuning, relying on appropriate noise levels and coupling constants.
Conclusions:
- Coherent resonance is an emergent property of coupled nonlinear systems with intrinsic dynamics and noise.
- Coupling acts as a critical control parameter for the propagation and characteristics of coherent resonance.
- This phenomenon offers a pathway for signal amplification or attenuation in noise-driven complex systems without external forcing.
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