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A Method for Tracking the Time Evolution of Steady-State Evoked Potentials
Published on: May 25, 2019
Resonance dynamics evoked via noise recycling procedure
Zhongkui Sun1, Xiaoli Yang, Wei Xu
1Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China. sunzk2008@gmail.com
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
Summary
Noise recycling in bistable systems can induce stochastic resonance (SR) without external periodic signals. Modulating time delay in noise recycling alters power spectrum density and enhances linear response, demonstrating SR signatures.
Area of Science:
- Nonlinear dynamics
- Statistical physics
- Complex systems
Background:
- Bistable systems exhibit complex escape dynamics influenced by noise.
- Non-Markovian effects and noise recycling are crucial in understanding these dynamics.
- Stochastic resonance (SR) typically requires an external periodic signal.
Purpose of the Study:
- To investigate the impact of noise recycling on nonequilibrium escape dynamics in bistable systems.
- To explore the emergence of stochastic resonance (SR) in the absence of external periodic signals.
- To analyze the role of time delay in noise recycling on system dynamics and response.
Main Methods:
- Reduction of a non-Markovian problem to a two-state model for small noise levels.
- Derivation of analytical formulas for switching rate, autocorrelation function, and power spectrum density (PSD).
- Theoretical analysis and numerical simulations to validate findings.
Main Results:
- Modulating time delay in noise recycling can transform a monotonic PSD into a nonmonotonic one.
- The amplitude of PSD at resonance frequency shows a maximum at a specific noise level, indicating SR.
- Linear response to external periodic force exhibits a maximum at a certain time delay, a signature of SR.
Conclusions:
- Noise recycling can induce stochastic resonance (SR) in bistable systems even without external periodic forcing.
- Time delay in noise recycling is a critical parameter for controlling system dynamics and observing SR.
- The study provides new insights into noise-induced phenomena in nonlinear systems.
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