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Logical stochastic resonance in triple-well potential systems driven by colored noise
Huiqing Zhang1, Yong Xu, Wei Xu
1Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China. huiqingzhang@nwpu.edu.cn
Chaos (Woodbury, N.Y.)
|January 3, 2013
Summary
Logic stochastic resonance (LSR) is achieved in triple-well systems using Gaussian colored noise. Multiplicative noise enables LSR even with weak potential wells, expanding reliable operational regions.
Area of Science:
- Nonlinear Dynamics
- Stochastic Processes
- Computational Physics
Background:
- Stochastic resonance is a phenomenon where a weak signal can be amplified by noise.
- Logic stochastic resonance (LSR) applies this phenomenon to create logic gates.
- Triple-well potential systems are complex systems where LSR is investigated.
Purpose of the Study:
- Investigate the logic stochastic resonance (LSR) phenomenon in stochastic triple-well potential systems.
- Explore the effects of additive and multiplicative Gaussian colored noise on LSR.
- Determine the conditions for reliable logic gate operation.
Main Methods:
- Derivation of an approximate Fokker-Planck equation using decoupling approximation.
- Analysis of LSR in systems with additive and multiplicative Gaussian colored noise.
- Examination of the parameter space including potential depth (a) and noise characteristics.
Main Results:
- LSR can be induced by additive or multiplicative Gaussian colored noise.
- Multiplicative noise enables LSR for a=0 by altering the potential shape, unlike additive noise.
- Increasing noise color expands the reliable parameter region for both additive and multiplicative noise compared to white noise.
Conclusions:
- Gaussian colored noise, particularly multiplicative noise, is effective in achieving reliable LSR in triple-well systems.
- The potential depth parameter 'a' and noise color significantly influence the performance and reliability of LSR.
- This research provides insights into designing noise-assisted logic devices.
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