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Asymmetric noise-induced large fluctuations in coupled systems.
Ira B Schwartz1, Klimka Szwaykowska1, Thomas W Carr2
1U.S. Naval Research Laboratory Code 6792, Plasma Physics Division, Nonlinear Systems Dynamics Section, Washington, D.C. 20375, USA.
Physical Review. E
|January 20, 2018
Summary
Noise in one coupled dynamical system can unexpectedly drive large fluctuations in a second, noise-free system. This transmitted noise effect depends on system coupling and noise intensity, revealing complex system behaviors.
Area of Science:
- Complex Systems
- Dynamical Systems Theory
- Nonlinear Dynamics
Background:
- Networks of interacting subsystems are prevalent across scientific and engineering disciplines.
- Noise and uncertainty in these systems can lead to emergent, complex behaviors.
- Understanding noise transmission in coupled systems is crucial for predicting system-wide dynamics.
Purpose of the Study:
- To investigate the transmission of noise between two weakly coupled dynamical systems.
- To quantify how noise in one system influences the behavior of a coupled, noise-free system.
- To analyze the scaling of noise-induced switching phenomena with coupling strength and noise intensity.
Main Methods:
- Development of a generic model for two weakly coupled dynamical systems.
- Analytical derivation of noise transmission mechanisms through the coupling interface.
- Quantification of uncertainty effects and characteristic time scales.
- Numerical simulations to validate theoretical predictions.
Main Results:
- Noise in one system can induce significant fluctuations in a coupled, noise-free system.
- The magnitude of fluctuations in the second system is influenced by the coupling strength and noise intensity.
- Characteristic time scales of noise-induced switching exhibit specific scaling with coupling.
- The probability of switching in the noise-free system is inversely proportional to the square of noise intensity.
Conclusions:
- Demonstrates a mechanism for noise transmission and amplification in coupled dynamical systems.
- Highlights the critical role of coupling in mediating noise effects.
- Provides a quantitative framework for understanding noise-induced phenomena in complex systems.
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